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

Studdy Solution

STEP 1

Assumptions1. The given expression is $16^{\frac{3}{}}$ . We need to simplify this expression

STEP 2

The expression $16^{\frac{}{2}}$ can be broken down into two parts the square root of16 and then raising it to the power of.16^{\frac{}{2}} = (16^{\frac{1}{2}})^

STEP 3

Now, calculate the square root of16.
$16^{\frac{1}{2}} =$

STEP 4

Substitute the square root of16 (which is4) back into the expression.
$(16^{\frac{1}{2}})^3 =4^3$

STEP 5

Finally, calculate the cube of4.
$4^3 =64$ So, $16^{\frac{3}{2}} =64$ .

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

Studdy Solution

STEP 1

Assumptions1. The given expression is $16^{\frac{3}{}}$ . We need to simplify this expression

STEP 2

The expression $16^{\frac{}{2}}$ can be broken down into two parts the square root of16 and then raising it to the power of.16^{\frac{}{2}} = (16^{\frac{1}{2}})^

STEP 3

Now, calculate the square root of16.
$16^{\frac{1}{2}} =$

STEP 4

Substitute the square root of16 (which is4) back into the expression.
$(16^{\frac{1}{2}})^3 =4^3$

STEP 5

Finally, calculate the cube of4.
$4^3 =64$ So, $16^{\frac{3}{2}} =64$ .

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QuestionCalculate 163216^{\frac{3}{2}}1623​.

Studdy Solution

STEP 1

Assumptions1. The given expression is 16316^{\frac{3}{}}163​ . We need to simplify this expression

STEP 2

The expression 16216^{\frac{}{2}}162​ can be broken down into two parts the square root of16 and then raising it to the power of.16^{\frac{}{2}} = (16^{\frac{1}{2}})^

STEP 3

Now, calculate the square root of16.1612=16^{\frac{1}{2}} =1621​=

STEP 4

Substitute the square root of16 (which is4) back into the expression.(1612)3=43(16^{\frac{1}{2}})^3 =4^3(1621​)3=43

STEP 5

Finally, calculate the cube of4.43=644^3 =6443=64So, 1632=6416^{\frac{3}{2}} =641623​=64.

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

Assumptions1. The given expression is $16^{\frac{3}{}}$ . We need to simplify this expression

The expression $16^{\frac{}{2}}$ can be broken down into two parts the square root of16 and then raising it to the power of.16^{\frac{}{2}} = (16^{\frac{1}{2}})^

Now, calculate the square root of16.
$16^{\frac{1}{2}} =$

Substitute the square root of16 (which is4) back into the expression.
$(16^{\frac{1}{2}})^3 =4^3$

Finally, calculate the cube of4.
$4^3 =64$ So, $16^{\frac{3}{2}} =64$ .