Question

Answer now!!! Please!!! (Math)

Answer 1

Answer:

The correct answer option is $\frac{25}{9}$.

Step-by-step explanation:

We are given the following expression and we are to evaluate it when $a = 5$ and $k = -2$:

$[\frac{3^2a^{-2}}{3a^{-1}} ]^k$

Substituting the given values of  $a$ and $k$ to get:

$[\frac{3^2(5)^{-2}}{3(5)^{-1}} ]^{-2}$

$\frac{3^{(2\times -2)}.5^{(1\times-2)}}{3^{(-1\times-2)}.5^{(2\times-2)}}$

$\frac{3^{-4}.5^{-2}}{3^{-2}.5^{-4}}$

$3^{-2}.5^2$

$\frac { 1 } { 3 ^ 2 } . 2$

$\frac { 1 } { 9 } . 2 5$

$\frac { 2 5 } { 9 }$