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 \(\frac{64}{25}\).