Question

evaluate (3/5)power-2​

Answer 1

$\star\:\:\:\sf\large\underline\blue{Question:-}$

• Evaluate $\sf {( \frac{3}{5} )}^{ - 2}$

$\star\:\:\:\sf\large\underline\blue{Answer:-}$

$\sf {( \frac{3}{5} )}^{ - 2}$

$\sf = {( \frac{5}{3} )}^{ 2}$

$\sf = \frac{25}{9}$

So,

$\boxed{ \sf { \bigg( \frac{3}{5} \bigg) }^{ - 2} = \frac{25}{9} }$

Answer 2

Answer:

The value of $(\frac{3}{5} )^{-2}$ is $\frac{25}{9}$

Step-by-step explanation:

Given:

To evaluate $(\frac{3}{5} )^{-2}$

As we know that

$(\frac{a}{b} )^{-1}=\frac{b}{a}$

So we get as

$(\frac{5}{3} )^{2}$

As we know that

$(\frac{a}{b} )^{m}=\frac{a^{m} }{b^{m} }$

So we get as

$\frac{5^2}{3^2} =\frac{25}{9}$