Expression

Problem 7301

Evaluate $(x+y)^{2}-5z$ at $x=-2, y=2, z=4$ and simplify.

See Solution

Problem 7302

Mai has 40 tens. How many hundreds is that? Write the number.

See Solution

Problem 7303

Evaluate $6y + \frac{-11y - 10y}{7}$ at $y=4$ and simplify.

See Solution

Problem 7304

Simplify the expression by combining like terms: $-2x + 3y^2 - 5 - 2y^2 + 3x + 3$ .

See Solution

Problem 7305

Evaluate the expression $-0.9 x^{2}+4.3 x^{2}+3 x+4.7 x^{2}$ at $x=2$ and simplify.

See Solution

Problem 7306

Translate "x divided by the product of 9 and y" into an algebraic expression.

See Solution

Problem 7307

Translate "4 times the sum of 2 and a number" into an expression using $x$ or $y$ .

See Solution

Problem 7308

Translate "the sum of two numbers multiplied by 9" into an algebraic expression using $x$ and $y$ .

See Solution

Problem 7309

Translate "a number multiplied by five" into an algebraic expression using $x$ or $y$ .

See Solution

Problem 7310

Translate "seven less than a number" into an algebraic expression using $x$ or $y$ .

See Solution

Problem 7311

Translate "the ratio of a number to four" into an algebraic expression using $x$ or $y$ .

See Solution

Problem 7312

Write an algebraic expression for the sum of eight, $y$ , and $x$ without simplifying.

See Solution

Problem 7313

Write an algebraic expression for the total hours in $d$ days plus 13 hours without simplifying.

See Solution

Problem 7314

Express "eight less than a number" and "eight less a number" using the variable $x$ .

See Solution

Problem 7315

Find the scale factor for the ratio $\frac{3 \mathrm{in}}{12 \mathrm{ft}}$ . Options: a. $\frac{1}{4}$ b. $\frac{1}{48}$ c. $\frac{1}{2}$ d. $\frac{1}{3}$

See Solution

Problem 7316

Translate "the product of two numbers multiplied by 8" into an algebraic expression using $x$ or $y^{\prime \prime}$ .

See Solution

Problem 7317

Translate "8 times a number, divided by 10" into an algebraic expression using $x$ or $y$ .

See Solution

Problem 7318

Calculate the calories in Greek Key Lime Yogurt with 4.5g fat, 17g carbs, and 11g protein. What is the total?

See Solution

Problem 7319

The algebraic expression for the sum of six, $x$ , and $y$ is: $6 + x + y$ .

See Solution

Problem 7320

Translate "5 times the sum of a number and 5" into an algebraic expression using $x$ or $y$ .

See Solution

Problem 7321

Triangle XYZ is similar to Triangle TUV.

See Solution

Problem 7322

The expression for the product of twelve, $y$ , and $x$ is $12 \cdot y \cdot x$ .

See Solution

Problem 7323

Translate "the number of days in $t$ weeks and 4 days" into an algebraic expression using $t$ .

See Solution

Problem 7324

Translate "the product of a number and nine" into an algebraic expression using $\chi$ or $y$ .

See Solution

Problem 7325

The expression is 9 less than the sum of $y$ and $x$ : $y + x - 9$ .

See Solution

Problem 7326

Calculate the value of $(2 \sqrt{3}-\sqrt{2})^{2}+(\sqrt{3}+\sqrt{2})^{2}$ .

See Solution

Problem 7327

Translate "nine more than a number" into an algebraic expression using $x$ or $y$ .

See Solution

Problem 7328

1. $x - 12$ (twelve less than a number)
2. $12 - x$ (twelve less a number)

See Solution

Problem 7329

Translate "the cost of $x$ textbooks if one textbook costs \ $117" into an algebraic expression using$ x$.

See Solution

Problem 7330

Simplify the expression $4.3 \frac{\mathrm{g} \cdot \mathrm{mL} \cdot \mathrm{g}}{\mathrm{g} \cdot \mathrm{mL} \cdot \mathrm{s}}$ .

See Solution

Problem 7331

A cow produces 53 pounds of milk daily. Estimate gallons produced using the fact that 1 gallon weighs 8.5 pounds.

See Solution

Problem 7332

Triangles $A B C$ and $D E F$ have sides $A B=9$ , $B C=15$ , $D E=6$ , $E F=10$ , and $\angle B \cong \angle E$ . Which is true? a. $\angle C A B \cong \angle D E F$ b. $\frac{A B}{C B}=\frac{F E}{D E}$ c. $\triangle A B C \sim \triangle D E F$ d. $\frac{A B}{D E}=\frac{F E}{C B}$

See Solution

Problem 7333

How many nitrogen atoms are in one mole of serotonin, $\mathrm{C}_{10} \mathrm{H}_{12} \mathrm{~N}_{2} \mathrm{O}$ ? A. $1.2 \times 10^{24}$ B. $6.02 \times 10^{23}$ C. $7.2 \times 10^{24}$ D. $6.02 \times 10^{24}$

See Solution

Problem 7334

Simplify the unit: $9.2 \frac{\mathrm{g} \cdot \mathrm{cm}^{3}}{\mathrm{g} \cdot \mathrm{cm}^{2}}$ . What is the simplest form?

See Solution

Problem 7335

Find the sum of $10.26 \mathrm{~g}$ and $0.063 \mathrm{~g}$ .

See Solution

Problem 7336

What is the molecular formula for the empirical formula $\mathrm{C}_{3} \mathrm{H}_{4} \mathrm{O}_{3}$ with a scale factor of 2? A. $\mathrm{C}_{3} \mathrm{H}_{4} \mathrm{O}_{3}$ B. $\mathrm{C}_{2} \mathrm{H}_{2} \mathrm{O}_{2}$ C. $\mathrm{C}_{6} \mathrm{H}_{8} \mathrm{O}_{6}$

See Solution

Problem 7337

Find the perimeter of a regular pentagon with one side measuring 7 units. Answer in units.

See Solution

Problem 7338

1. Calculate $2,673 + 567$ .
2. Find the sum of $45 + 59 + 61$ .
3. A crayon company made 7,491 green, 5,063 red crayons. How many more green than red?

See Solution

Problem 7339

Calculate $1,241 - 589$ .

See Solution

Problem 7340

Calculate the absolute and relative changes in Japan's population under 15 from 1980 (18.08\%) to 2020 (12.45\%).

See Solution

Problem 7341

Simplify: $\sqrt{125}=$

See Solution

Problem 7342

Simplify $\sqrt{405}$ into the format $a \sqrt{b}$ . What is $\sqrt{405}=$ ?

See Solution

Problem 7343

Simplify $\sqrt{12}$ to the form $a \sqrt{b}$ . What is the result?

See Solution

Problem 7344

Simplify $\sqrt{45}$ into the form $a \sqrt{b}$ . What is the result?

See Solution

Problem 7345

Find the absolute and relative changes in the population over 65 from 8.91% in 1980 to 23.32% in 2020. Round as specified.

See Solution

Problem 7346

Simplify $\left(\frac{3 x^{3}}{x^{-2}}\right)^{4} \cdot\left(\frac{y^{2} x^{-4}}{5 x y^{-8}}\right)^{3}$ using positive exponents.

See Solution

Problem 7347

Convert $1.459 \mathrm{~g} / \mathrm{mL}$ to $\mathrm{lb} / \mathrm{gal}$ .

See Solution

Problem 7348

Convert $6,718 \, \text{ft}^3$ to $\text{m}^3$ .

See Solution

Problem 7349

Convert $7 \mathrm{ft}$ to $\mathrm{cm}$ and express the result as a multiple of $10^{2} \mathrm{cm}$ .

See Solution

Problem 7350

Kimberly bought 9 m and 9.3 m of tape. How many meters of tape did she buy in total? $9 + 9.3$

See Solution

Problem 7351

Fractional Representations:
1. Model $2/5$ on a 10x10 grid.
2. Create a table of 5 equivalent ratios starting from $2/5$ to part out of whole (100).
3. Identify decimal/percent equivalents: A. $0.04,4\%$ B. $0.4,40\%$ C. $0.25,25\%$ D. $2.5,250\%$ . Explain any incorrect choice.
4. Calculate $2/5$ of 25 dum-dums.
5. Draw a number line for question 4's data.

See Solution

Problem 7352

Find the limit: $\lim _{x \rightarrow 2}\left(\frac{9 x-6}{3 x^{2}-10 x+8}-\frac{9 x+24}{4 x^{2}-9 x+2}\right)$ .

See Solution

Problem 7353

Calculate $-\sqrt{\frac{4}{64}}$ .

See Solution

Problem 7354

Find the value of $\sqrt{\frac{16}{49}}$ .

See Solution

Problem 7355

Calculate $-\sqrt{\frac{64}{121}}$ .

See Solution

Problem 7356

Find the value of $\sqrt{\frac{121}{169}}$ .

See Solution

Problem 7357

Calculate the value of $\sqrt{\frac{196}{4}}$ .

See Solution

Problem 7358

Calculate $-\sqrt{\frac{25}{256}}$ .

See Solution

Problem 7359

Calculate the value of $\sqrt{\frac{121}{144}}$ .

See Solution

Problem 7360

Calculate the expression $(-2) \times (-4) \times ((-5) - 1)$ .

See Solution

Problem 7361

Convert 73 meters to millimeters. Use the fact that 1 m = 1,000 mm.

See Solution

Problem 7362

Calculate $-125^{\frac{2}{3}}$ .

See Solution

Problem 7363

Calculate $36^{\frac{3}{2}}$ .

See Solution

Problem 7364

Calculate $16^{\frac{3}{2}}$ .

See Solution

Problem 7365

Calculate $64^{\frac{3}{2}}$ .

See Solution

Problem 7366

Calculate $25^{\frac{3}{2}}$ .

See Solution

Problem 7367

Evaluate $\left(\left(-\frac{4}{3}\right)^{2}\right)^{3}$ . Choose from: $\frac{4096}{729}$ , $\frac{1024}{243}$ , $-\frac{1024}{243}$ , $-\frac{4096}{729}$ .

See Solution

Problem 7368

Find an equivalent expression for $\left(\left(\frac{3}{4}\right)^{4}\left(\frac{3}{4}\right)^{3}\right)^{2}$ .

See Solution

Problem 7369

Which expression equals $\left(\frac{(1.5)^{5}}{(0.7)^{4}}\right)^{3}$ ? Options: $\frac{(1.5)^{15}}{(0.7)^{12}}$ , $\frac{(1.5)^{8}}{(0.7)^{7}}$ , $2.1^{3}$ , $2.1^{15}$ .

See Solution

Problem 7370

Calculate $3 \cdot \frac{1}{2}$ .

See Solution

Problem 7371

Evaluate $\left(\frac{\left(\frac{1}{4}\right)^{7}}{\left(\frac{1}{4}\right)^{6}}\right)^{2}$ . Options: 1, 1 \frac{1}{16}, $\frac{1}{16}$ , $\frac{1}{32}$ .

See Solution

Problem 7372

Simplify $(3.2)(3.2^2)^4$ . Choices: $(3.2)^9$ , $(3.2)^8$ , $(3.2)^7$ , $(3.2)^6$ .

See Solution

Problem 7373

Choose the equivalent expression for $\frac{(-3)^{4}}{(-3)^{2}}$ : 1) $\frac{(-3)^{2}}{(-3)^{4}}$ 2) $\frac{(-3)^{6}}{(-3)^{4}}$ 3) $\frac{(-3)}{(-3)^{5}}$ 4) $\frac{(-3)^{5}}{(-3)}$

See Solution

Problem 7374

Calculate: $18 \div 2$ and $-24 \div -3$ .

See Solution

Problem 7375

Evaluate the expression: $\frac{1}{2} + \frac{2}{5} \times \frac{3}{4}$ and express your answer as a fraction or mixed number.

See Solution

Problem 7376

Factor the expression: $x^{2}+4x+3$ .

See Solution

Problem 7377

Factor the expression: $x^{2}+4 x+3$ .

See Solution

Problem 7378

Factor the trinomial: $3 x^{2}+14 x+8$

See Solution

Problem 7379

Calculate the total seats in Section A (9 rows, 8 seats) and Section B (4 rows, 7 seats). Also, find streamers from 30 and 40 yards cut into 5-yard pieces.

See Solution

Problem 7380

Calculate the following divisions:
$24 \div 816$ , $32 \div 192$ , $17 \div 2736$ , $29 \div 8207$ , $48 \div 1280$ , $73 \div 3577$ , $19 \div 4332$ , $22 \div 7439$ , $26 \div 9302$ , $67 \div 5226$ , $84 \div 2999$ , $71 \div 6103$ .

See Solution

Problem 7381

1. What is $\frac{4}{8}+\frac{3}{8}$ ?

See Solution

Problem 7382

Factor the trinomial: $2x^{2} + 21x + 49$ .

See Solution

Problem 7383

Calculate $\frac{(2 \times 1.8)^{5}}{4 \times 6.4}$ , round to 3 sig figs, find percentage error, and express as $a \times 10^{k}$ .

See Solution

Problem 7384

Find the area of a rectangle with sides $7.6 \times 10^{2} \mathrm{~cm}$ and $1.5 \times 10^{3} \mathrm{~cm}$ in scientific notation. Then, calculate the percentage error of an estimate of $1200000 \mathrm{~cm}^{2}$ .

See Solution

Problem 7385

Calculate the total number of seats in Section A (9 rows, 8 seats each) and Section B (4 rows, 7 seats each).

See Solution

Problem 7386

Carpet a room 24 ft by 18 ft. 1. Find the area. 2. How many square yards are needed? Use $1 \text{ square yard} = 9 \text{ square feet}$ .

See Solution

Problem 7387

Calculate $\frac{3.93 \times 10^{3}}{6.57 \times 10^{3}}$ .

See Solution

Problem 7388

Simplify the expression: $\frac{1}{2}(8 x+2)$ .

See Solution

Problem 7389

Calculate $\frac{2.86 \times 10^{3}}{6.25 \times 10^{-9}}$ .

See Solution

Problem 7390

Calculate the value of $8.11 \times 10^{-2}$ .

See Solution

Problem 7391

Convert the speed of light $2.998 \times 10^{8} \mathrm{~m/s}$ to kilometers per hour $(\mathrm{km/h})$ .

See Solution

Problem 7392

Convert a speed of $1.07928 \times 10^{9}$ m/s to miles per minute (mi/min).

See Solution

Problem 7393

Simplify the expression: $4 n - (7 - 6 n)$ .

See Solution

Problem 7394

Simplify the expression: $-3 - 7(-3 - 6v)$ .

See Solution

Problem 7395

Convert 30 quarters to nickels. How many nickels is that? Use the conversion $1 \text{ quarter} = 5 \text{ nickels}$ .

See Solution

Problem 7396

What is the total change in position if a football team gains 15 yards and then loses 21 yards? Calculate $15 - 21$ .

See Solution

Problem 7397

Calculate $(0.5)^{3}$ .

See Solution

Problem 7398

Simplify the expression $6 x + (5 x - 8 y - 4)$ .

See Solution

Problem 7399

Calculate $\left(-\frac{3}{10}\right)^{2}$ .

See Solution

Problem 7400

Calculate $\left(\frac{1}{4}\right)^{3}$ .

See Solution

1 ...71 72 73 74 75 76 77

Expression

Problem 7301

Evaluate (x+y)2−5z(x+y)^{2}-5z(x+y)2−5z at x=−2,y=2,z=4x=-2, y=2, z=4x=−2,y=2,z=4 and simplify.

Problem 7302

Mai has 40 tens. How many hundreds is that? Write the number.

Problem 7303

Evaluate 6y+−11y−10y76y + \frac{-11y - 10y}{7}6y+7−11y−10y​ at y=4y=4y=4 and simplify.

Problem 7304

Simplify the expression by combining like terms: −2x+3y2−5−2y2+3x+3-2x + 3y^2 - 5 - 2y^2 + 3x + 3−2x+3y2−5−2y2+3x+3.

Problem 7305

Evaluate the expression −0.9x2+4.3x2+3x+4.7x2-0.9 x^{2}+4.3 x^{2}+3 x+4.7 x^{2}−0.9x2+4.3x2+3x+4.7x2 at x=2x=2x=2 and simplify.

Problem 7306

Translate "x divided by the product of 9 and y" into an algebraic expression.

Problem 7307

Translate "4 times the sum of 2 and a number" into an expression using xxx or yyy.

Problem 7308

Translate "the sum of two numbers multiplied by 9" into an algebraic expression using xxx and yyy.

Problem 7309

Translate "a number multiplied by five" into an algebraic expression using xxx or yyy.

Problem 7310

Translate "seven less than a number" into an algebraic expression using xxx or yyy.

Problem 7311

Translate "the ratio of a number to four" into an algebraic expression using xxx or yyy.

Problem 7312

Write an algebraic expression for the sum of eight, yyy, and xxx without simplifying.

Problem 7313

Write an algebraic expression for the total hours in ddd days plus 13 hours without simplifying.

Problem 7314

Express "eight less than a number" and "eight less a number" using the variable xxx.

Problem 7315

Find the scale factor for the ratio 3in12ft\frac{3 \mathrm{in}}{12 \mathrm{ft}}12ft3in​. Options: a. 14\frac{1}{4}41​ b. 148\frac{1}{48}481​ c. 12\frac{1}{2}21​ d. 13\frac{1}{3}31​

Problem 7316

Translate "the product of two numbers multiplied by 8" into an algebraic expression using xxx or y′′y^{\prime \prime}y′′.

Problem 7317

Translate "8 times a number, divided by 10" into an algebraic expression using xxx or yyy.

Problem 7318

Calculate the calories in Greek Key Lime Yogurt with 4.5g fat, 17g carbs, and 11g protein. What is the total?

Problem 7319

The algebraic expression for the sum of six, xxx, and yyy is: 6+x+y6 + x + y6+x+y.

Problem 7320

Translate "5 times the sum of a number and 5" into an algebraic expression using xxx or yyy.

Problem 7321

Triangle XYZ is similar to Triangle TUV.

Problem 7322

The expression for the product of twelve, yyy, and xxx is 12⋅y⋅x12 \cdot y \cdot x12⋅y⋅x.

Problem 7323

Translate "the number of days in ttt weeks and 4 days" into an algebraic expression using ttt.

Problem 7324

Translate "the product of a number and nine" into an algebraic expression using χ\chiχ or yyy.

Problem 7325

The expression is 9 less than the sum of yyy and xxx: y+x−9y + x - 9y+x−9.

Problem 7326

Calculate the value of (23−2)2+(3+2)2(2 \sqrt{3}-\sqrt{2})^{2}+(\sqrt{3}+\sqrt{2})^{2}(23​−2​)2+(3​+2​)2.

Problem 7327

Translate "nine more than a number" into an algebraic expression using xxx or yyy.

Problem 7328

1. x−12x - 12x−12 (twelve less than a number) 2. 12−x12 - x12−x (twelve less a number)

Problem 7329

Translate "the cost of xxx textbooks if one textbook costs \117"intoanalgebraicexpressionusing117" into an algebraic expression using 117"intoanalgebraicexpressionusingx$.

Problem 7330

Simplify the expression 4.3g⋅mL⋅gg⋅mL⋅s4.3 \frac{\mathrm{g} \cdot \mathrm{mL} \cdot \mathrm{g}}{\mathrm{g} \cdot \mathrm{mL} \cdot \mathrm{s}}4.3g⋅mL⋅sg⋅mL⋅g​.

Problem 7331

A cow produces 53 pounds of milk daily. Estimate gallons produced using the fact that 1 gallon weighs 8.5 pounds.

Problem 7332

Problem 7333

Problem 7334

Simplify the unit: 9.2g⋅cm3g⋅cm29.2 \frac{\mathrm{g} \cdot \mathrm{cm}^{3}}{\mathrm{g} \cdot \mathrm{cm}^{2}}9.2g⋅cm2g⋅cm3​. What is the simplest form?

Problem 7335

Find the sum of 10.26 g10.26 \mathrm{~g}10.26 g and 0.063 g0.063 \mathrm{~g}0.063 g.

Problem 7336

Problem 7337

Find the perimeter of a regular pentagon with one side measuring 7 units. Answer in units.

Problem 7338

1. Calculate 2,673+5672,673 + 5672,673+567.2. Find the sum of 45+59+6145 + 59 + 6145+59+61.3. A crayon company made 7,491 green, 5,063 red crayons. How many more green than red?

Problem 7339

Calculate 1,241−5891,241 - 5891,241−589.

Problem 7340

Calculate the absolute and relative changes in Japan's population under 15 from 1980 (18.08\%) to 2020 (12.45\%).

Problem 7341

Simplify: 125=\sqrt{125}=125​=

Evaluate $(x+y)^{2}-5z$ at $x=-2, y=2, z=4$ and simplify.

Evaluate $6y + \frac{-11y - 10y}{7}$ at $y=4$ and simplify.

Simplify the expression by combining like terms: $-2x + 3y^2 - 5 - 2y^2 + 3x + 3$ .

Evaluate the expression $-0.9 x^{2}+4.3 x^{2}+3 x+4.7 x^{2}$ at $x=2$ and simplify.

Translate "4 times the sum of 2 and a number" into an expression using $x$ or $y$ .

Translate "the sum of two numbers multiplied by 9" into an algebraic expression using $x$ and $y$ .

Translate "a number multiplied by five" into an algebraic expression using $x$ or $y$ .

Translate "seven less than a number" into an algebraic expression using $x$ or $y$ .

Translate "the ratio of a number to four" into an algebraic expression using $x$ or $y$ .

Write an algebraic expression for the sum of eight, $y$ , and $x$ without simplifying.

Write an algebraic expression for the total hours in $d$ days plus 13 hours without simplifying.

Express "eight less than a number" and "eight less a number" using the variable $x$ .

Find the scale factor for the ratio $\frac{3 \mathrm{in}}{12 \mathrm{ft}}$ . Options: a. $\frac{1}{4}$ b. $\frac{1}{48}$ c. $\frac{1}{2}$ d. $\frac{1}{3}$

Translate "the product of two numbers multiplied by 8" into an algebraic expression using $x$ or $y^{\prime \prime}$ .

Translate "8 times a number, divided by 10" into an algebraic expression using $x$ or $y$ .

The algebraic expression for the sum of six, $x$ , and $y$ is: $6 + x + y$ .

Translate "5 times the sum of a number and 5" into an algebraic expression using $x$ or $y$ .

The expression for the product of twelve, $y$ , and $x$ is $12 \cdot y \cdot x$ .

Translate "the number of days in $t$ weeks and 4 days" into an algebraic expression using $t$ .

Translate "the product of a number and nine" into an algebraic expression using $\chi$ or $y$ .

The expression is 9 less than the sum of $y$ and $x$ : $y + x - 9$ .

Calculate the value of $(2 \sqrt{3}-\sqrt{2})^{2}+(\sqrt{3}+\sqrt{2})^{2}$ .

Translate "nine more than a number" into an algebraic expression using $x$ or $y$ .

1. $x - 12$ (twelve less than a number)
2. $12 - x$ (twelve less a number)

Translate "the cost of $x$ textbooks if one textbook costs \ $117" into an algebraic expression using$ x$.

Simplify the expression $4.3 \frac{\mathrm{g} \cdot \mathrm{mL} \cdot \mathrm{g}}{\mathrm{g} \cdot \mathrm{mL} \cdot \mathrm{s}}$ .

Simplify the unit: $9.2 \frac{\mathrm{g} \cdot \mathrm{cm}^{3}}{\mathrm{g} \cdot \mathrm{cm}^{2}}$ . What is the simplest form?

Find the sum of $10.26 \mathrm{~g}$ and $0.063 \mathrm{~g}$ .

1. Calculate $2,673 + 567$ .
2. Find the sum of $45 + 59 + 61$ .
3. A crayon company made 7,491 green, 5,063 red crayons. How many more green than red?

Calculate $1,241 - 589$ .

Simplify: $\sqrt{125}=$

Simplify $\sqrt{405}$ into the format $a \sqrt{b}$ . What is $\sqrt{405}=$ ?

Simplify $\sqrt{12}$ to the form $a \sqrt{b}$ . What is the result?

Simplify $\sqrt{45}$ into the form $a \sqrt{b}$ . What is the result?

Simplify $\left(\frac{3 x^{3}}{x^{-2}}\right)^{4} \cdot\left(\frac{y^{2} x^{-4}}{5 x y^{-8}}\right)^{3}$ using positive exponents.

Convert $1.459 \mathrm{~g} / \mathrm{mL}$ to $\mathrm{lb} / \mathrm{gal}$ .

Convert $6,718 \, \text{ft}^3$ to $\text{m}^3$ .

Convert $7 \mathrm{ft}$ to $\mathrm{cm}$ and express the result as a multiple of $10^{2} \mathrm{cm}$ .

Kimberly bought 9 m and 9.3 m of tape. How many meters of tape did she buy in total? $9 + 9.3$

Find the limit: $\lim _{x \rightarrow 2}\left(\frac{9 x-6}{3 x^{2}-10 x+8}-\frac{9 x+24}{4 x^{2}-9 x+2}\right)$ .

Calculate $-\sqrt{\frac{4}{64}}$ .

Find the value of $\sqrt{\frac{16}{49}}$ .

Calculate $-\sqrt{\frac{64}{121}}$ .

Find the value of $\sqrt{\frac{121}{169}}$ .

Calculate the value of $\sqrt{\frac{196}{4}}$ .

Calculate $-\sqrt{\frac{25}{256}}$ .

Calculate the value of $\sqrt{\frac{121}{144}}$ .

Calculate the expression $(-2) \times (-4) \times ((-5) - 1)$ .

Calculate $-125^{\frac{2}{3}}$ .

Calculate $36^{\frac{3}{2}}$ .

Calculate $16^{\frac{3}{2}}$ .

Calculate $64^{\frac{3}{2}}$ .

Calculate $25^{\frac{3}{2}}$ .

Evaluate $\left(\left(-\frac{4}{3}\right)^{2}\right)^{3}$ . Choose from: $\frac{4096}{729}$ , $\frac{1024}{243}$ , $-\frac{1024}{243}$ , $-\frac{4096}{729}$ .

Find an equivalent expression for $\left(\left(\frac{3}{4}\right)^{4}\left(\frac{3}{4}\right)^{3}\right)^{2}$ .

Which expression equals $\left(\frac{(1.5)^{5}}{(0.7)^{4}}\right)^{3}$ ? Options: $\frac{(1.5)^{15}}{(0.7)^{12}}$ , $\frac{(1.5)^{8}}{(0.7)^{7}}$ , $2.1^{3}$ , $2.1^{15}$ .

Calculate $3 \cdot \frac{1}{2}$ .

Evaluate $\left(\frac{\left(\frac{1}{4}\right)^{7}}{\left(\frac{1}{4}\right)^{6}}\right)^{2}$ . Options: 1, 1 \frac{1}{16}, $\frac{1}{16}$ , $\frac{1}{32}$ .

Simplify $(3.2)(3.2^2)^4$ . Choices: $(3.2)^9$ , $(3.2)^8$ , $(3.2)^7$ , $(3.2)^6$ .

Calculate: $18 \div 2$ and $-24 \div -3$ .