Question

evaluate (6.25)to the power 3/2

Answer 1

Answer:

15.625

Step by step explanation :

(6.25)^3/2

=(√6.25)³

=2.5³

=15.625

I hope you got it if so mark me as brainalist.

Answer 2

$\displaystyle \sf{ {(6.25)}^{ \frac{3}{2} } } = 15.625$

Given :

The expression

$\displaystyle \sf{ {(6.25)}^{ \frac{3}{2} } }$

To find :

The value of the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

$\displaystyle \sf{ {(6.25)}^{ \frac{3}{2} } }$

Step 2 of 2 :

Find the value of the expression

$\displaystyle \sf{ {(6.25)}^{ \frac{3}{2} } }$

$\displaystyle \sf{ = { \{ {(2.5)}^{2} \}}^{ \frac{3}{2} } }$

$\displaystyle \sf{ = { (2.5)}^{ (2 \times \frac{3}{2}) } }$

$\displaystyle \sf{ = { (2.5)}^{3} }$

$\displaystyle \sf{ = 2.5 \times 2.5 \times 2.5}$

$\displaystyle \sf{ = 15.625}$