# How do you simplify  (4a^(5/3))^(3/2)?

Dec 6, 2016

$8 {a}^{\frac{5}{2}}$

#### Explanation:

Remember: ${\left({p}^{m}\right)}^{n} = {p}^{m + n}$

In this example: ${\left(4 {a}^{\frac{5}{3}}\right)}^{\frac{3}{2}} = {4}^{\frac{3}{2}} \times {\left({a}^{\frac{5}{3}}\right)}^{\frac{3}{2}}$

$= {2}^{\frac{6}{2}} \times {a}^{\frac{5}{3} \times \frac{3}{2}}$

$= {2}^{3} \times {a}^{\frac{5}{2}}$

$= 8 {a}^{\frac{5}{2}}$