Math / Numbers & Operations

Question10. $18\left(5^{3}-2^{7}\right)-10$

Studdy Solution

STEP 1

1. The expression to simplify is $18(5^3 - 2^7) - 10$ .
2. We will follow the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

STEP 2

1. Evaluate the exponents.
2. Simplify the expression inside the parentheses.
3. Perform the multiplication.
4. Complete the subtraction.

STEP 3

Evaluate the exponent $5^3$ .
$5^3 = 5 \times 5 \times 5 = 125$

STEP 4

Evaluate the exponent $2^7$ .
$2^7 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 128$

STEP 5

Simplify the expression inside the parentheses $5^3 - 2^7$ .
$125 - 128 = -3$

STEP 6

Perform the multiplication $18(-3)$ .
$18 \times (-3) = -54$

STEP 7

Complete the subtraction $-54 - 10$ .
$-54 - 10 = -64$
The simplified result of the expression is:
$\boxed{-64}$

Was this helpful?

Question10. $18\left(5^{3}-2^{7}\right)-10$

Studdy Solution

STEP 1

1. The expression to simplify is $18(5^3 - 2^7) - 10$ .
2. We will follow the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

STEP 2

1. Evaluate the exponents.
2. Simplify the expression inside the parentheses.
3. Perform the multiplication.
4. Complete the subtraction.

STEP 3

Evaluate the exponent $5^3$ .
$5^3 = 5 \times 5 \times 5 = 125$

STEP 4

Evaluate the exponent $2^7$ .
$2^7 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 128$

STEP 5

Simplify the expression inside the parentheses $5^3 - 2^7$ .
$125 - 128 = -3$

STEP 6

Perform the multiplication $18(-3)$ .
$18 \times (-3) = -54$

STEP 7

Complete the subtraction $-54 - 10$ .
$-54 - 10 = -64$
The simplified result of the expression is:
$\boxed{-64}$

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Question10. 18(53−27)−1018\left(5^{3}-2^{7}\right)-1018(53−27)−10

Studdy Solution

STEP 1

1. The expression to simplify is 18(53−27)−10 18(5^3 - 2^7) - 10 18(53−27)−10.2. We will follow the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

STEP 2

1. Evaluate the exponents.2. Simplify the expression inside the parentheses.3. Perform the multiplication.4. Complete the subtraction.

STEP 3

Evaluate the exponent 53 5^3 53.53=5×5×5=125 5^3 = 5 \times 5 \times 5 = 125 53=5×5×5=125

STEP 4

Evaluate the exponent 27 2^7 27.27=2×2×2×2×2×2×2=128 2^7 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 128 27=2×2×2×2×2×2×2=128

STEP 5

Simplify the expression inside the parentheses 53−27 5^3 - 2^7 53−27.125−128=−3 125 - 128 = -3 125−128=−3

STEP 6

Perform the multiplication 18(−3) 18(-3) 18(−3).18×(−3)=−54 18 \times (-3) = -54 18×(−3)=−54

STEP 7

Complete the subtraction −54−10 -54 - 10 −54−10.−54−10=−64 -54 - 10 = -64 −54−10=−64 The simplified result of the expression is:−64\boxed{-64}−64​

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Question10. $18\left(5^{3}-2^{7}\right)-10$

1. The expression to simplify is $18(5^3 - 2^7) - 10$ .
2. We will follow the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

1. Evaluate the exponents.
2. Simplify the expression inside the parentheses.
3. Perform the multiplication.
4. Complete the subtraction.

Evaluate the exponent $5^3$ .
$5^3 = 5 \times 5 \times 5 = 125$

Evaluate the exponent $2^7$ .
$2^7 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 128$

Simplify the expression inside the parentheses $5^3 - 2^7$ .
$125 - 128 = -3$

Perform the multiplication $18(-3)$ .
$18 \times (-3) = -54$

Complete the subtraction $-54 - 10$ .
$-54 - 10 = -64$
The simplified result of the expression is:
$\boxed{-64}$