\begin{tabular}{l} MA.912.NSO.1.1 \\ 3 of 3 \\ Simplify using the laws of exponents. \\ \( 25^{\frac{-3}{2}} \) \\ - -125 \\ \hline\( \frac{1}{125} \) \\ \hline\( \frac{1}{15} \)\end{tabular}

To simplify \( 25^{\frac{-3}{2}} \), we can break it down step by step. First, recognize that \( 25 \) can be rewritten as \( 5^2 \). So, we have: \[ 25^{\frac{-3}{2}} = (5^2)^{\frac{-3}{2}} = 5^{-3} \] Now, applying the negative exponent rule, \( a^{-n} = \frac{1}{a^n} \) gives us: \[ 5^{-3} = \frac{1}{5^3} = \frac{1}{125} \] So the answer is \( \frac{1}{125} \). The other options mentioned (-125 and \(\frac{1}{15}\)) do not match the correct simplification of the expression using the laws of exponents.