## Elementary Algebra

$\frac{4}{25}$
We remove the negative sign in the exponent of the denominator by putting it in the numerator. Then, we raise each term in the expression to the power of 2 and simplify: $\frac{1}{(\frac{2}{5})^{-2}}$ =$(\frac{2}{5})^{2}$ =$(\frac{2^{2}}{5^{2}})$ =$\frac{4}{25}$