# How do you simplify (z ^ { \frac { 1} { 3} } \cdot x ^ { - 2} ) ^ { \frac { 5} { 3} }?

Nov 27, 2017

$= {z}^{\frac{5}{9}} {x}^{- \frac{10}{3}}$ or $= \frac{{z}^{\frac{5}{9}}}{{x}^{\frac{10}{3}}}$

#### Explanation:

Follow the power exponent rules : (b^n)^m = b^(n⋅m)

${\left({z}^{\frac{1}{3}} \cdot {x}^{- 2}\right)}^{\frac{5}{3}}$

$= {z}^{\left(\frac{1}{3}\right) \left(\frac{5}{3}\right)} \cdot {x}^{\left(- 2\right) \left(\frac{5}{3}\right)}$

$= {z}^{\frac{5}{9}} \cdot {x}^{- \frac{10}{3}}$

$= {z}^{\frac{5}{9}} {x}^{- \frac{10}{3}}$ or $= \frac{{z}^{\frac{5}{9}}}{{x}^{\frac{10}{3}}}$
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