# How do you simplify (-(2/3))^-3?

Mar 3, 2018

${\left[- \left[\frac{2}{3}\right]\right]}^{- 3} = {\left[\frac{- 2}{3}\right]}^{- 3}$

It is a law of exponent
${\left[\frac{a}{b}\right]}^{- c} = {\left[\frac{b}{a}\right]}^{c}$

${\left[\frac{- 2}{3}\right]}^{- 3} = {\left[- \frac{3}{2}\right]}^{3}$

$\frac{{\left[- 3\right]}^{3}}{2} ^ 3$

$\frac{- 27}{8}$

$- 3.375$