Chapter R - Algebra Reference - R.6 Exponents - R.6 Exercises - Page R-25: 33

$\displaystyle \frac{1}{16}$

$8^{-4/3}=$ ... recognize $8=2^{3}$ $=(2^{3})^{-4/3}=$ ...use: $(a^{m})^{n}=a^{mn}$ $=2^{-4}=$ ...use: $\displaystyle \frac{1}{a^{n}}=a^{-n}$ $=\displaystyle \frac{1}{2^{4}}$ $= \displaystyle \frac{1}{16}$