# How do you simplify (5/3)^ -3?

Mar 28, 2016

$= {\left(\frac{3}{5}\right)}^{3} = \frac{27}{125}$

Mar 28, 2016

$\frac{27}{125}$

#### Explanation:

${\left(\frac{5}{3}\right)}^{- 3}$
First, distribute the -3 in the exponent to the numerator and the denominator.
$\left(\frac{{5}^{- 3}}{{3}^{- 3}}\right)$
Because both of the exponents are negative the numerator and denominator have to switch.
$\left(\frac{{3}^{3}}{{5}^{3}}\right)$
Simplify:
$\left(\frac{27}{125}\right)$