Chapter R - Algebra Reference - R.6 Exponents - R.6 Exercises - Page R-25: 34

$\displaystyle \frac{1}{5}$

$625^{-1/4}=$ ... recognize $625=5^{4}$ $(5^{4})^{-1/4}=$ ...use: $(a^{m})^{n}=a^{mn}$ $=5^{-1}=$ ...use: $\displaystyle \frac{1}{a^{n}}=a^{-n}$ $=\displaystyle \frac{1}{5^{1}} =\frac{1}{5}$