Question

Which expression is equivalent to (53)−2?

Answer 1

I am assuming you meant \((5^3)^{-2}\)

Please correct me if I am wrong

Answer 2

First do the parenthesis \(5^3\)

\(5\cdot 5\cdot 5=?\)

Answer 3

Once you do that you can choose to square it immediately or flip it

Either way, this should end up as a denominator

Answer 4

\[(a^b)^c = a^{bc}\]
so \[(5^3)^{-2} = 5^{-6}~~~ which~also~equals~~~\frac{1}{5^6}\]