Question

simplest form of 25by 9 raise to power -3/2​

Answer 1

Simplest form =

$\frac{8}{125}$

Step-by-step explanation:

Given :

${ (\frac{25}{9} )}^{ \frac{ - 3}{2} }$

To find :

The value.

Solution :

${( \frac{25}{9} )}^{ \frac{ - 3}{2} } = { ({ (\frac{5}{3} )}^{2} )}^{ \frac{ - 3}{2} } = { (\frac{5}{2} )}^{2 \times \frac{ - 3}{2} }$

${( \frac{5}{2} )}^{ - 3} = \: {( \frac{2}{5} )}^{3} = \frac{8}{125}$

Hence, the answer is 8/125.