Question

rewrite the following without an exponent
(5/8)^-2

Answer 1

what is the answer

Answer 2

To rewrite \((5/8)^{-2}\) without an exponent, we can take the reciprocal of the base and change the sign of the exponent.

So, \((5/8)^{-2} = \frac{1}{(5/8)^2}\).

Now, we calculate \((5/8)^2\):

\[
(5/8)^2 = \frac{5^2}{8^2} = \frac{25}{64}
\]

Thus,

\[
(5/8)^{-2} = \frac{1}{(5/8)^2} = \frac{1}{\frac{25}{64}} = \frac{64}{25}
\]

So, \((5/8)^{-2}\) rewritten without an exponent is \(\frac{64}{25}\).

Answer 3

The answer to \((5/8)^{-2}\) rewritten without an exponent is \(\frac{64}{25}\).