# How do you simplify (-343)^(-8/3)?

Apr 22, 2015

${\left(- 343\right)}^{- \frac{8}{3}}$

Note that $\sqrt[3]{343} = 7$

${\left(- 343\right)}^{- \frac{8}{3}}$

$= \frac{1}{{\left(- 343\right)}^{\frac{8}{3}}}$

=1/((root(3)(-343))^8

$= \frac{1}{- 7} ^ 8$

$= \frac{1}{5764801}$ (I did not multiply this out by hand)