1 Answer

Mano Kovacs · Answer 1 · 2020-06-19T23:30:01+0000

Answer:

The correct answer option is
(25)/(9) .

Explanation:

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

[(3^2a^(-2))/(3a^(-1)) ]^k

Substituting the given values of
and
to get:

[(3^2(5)^(-2))/(3(5)^(-1)) ]^(-2)

(3^((2* -2)).5^((1*-2)))/(3^((-1*-2)).5^((2*-2)))

(3^(-4).5^(-2))/(3^(-2).5^(-4))

3^(-2).5^2

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

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

$\frac { 2 5 } { 9 }$

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