Helppp simplify (3^-2)^4

Question

asked Jun 28, 2020 121k views

1 Answer

Maribell · Answer 1 · 2020-07-04T10:59:15+0000

For this case we must simplify the following expression:

$(3 ^ {-2}) ^ 4$

By definition of power properties we have to:
$a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}$

So, rewriting the expression we have:

$(\frac {1} {3 ^ 2}) ^ 4 = \frac {1 ^ 4} {(3 ^ 2) ^ 4} = \frac {1} {(3 ^ 2) ^ 4}$

By definition of power properties we have:

$(a ^ n) ^ m = a ^ {n * m}$

So:

$\frac {1} {(3 ^ 2) ^ 4} = \frac {1} {3 ^ 8}$

Answer:

Option D