# How do you simplify 3^(5/3)*3^(1/3)?

Aug 14, 2016

${3}^{\frac{5}{3}} \times {3}^{\frac{1}{3}} = 9$

#### Explanation:

From a rule of indices: ${a}^{n} \times {a}^{m} = {a}^{n + m}$

In this example $a = 3 , n = \frac{5}{3} , m = \frac{1}{3}$

Therefore: ${3}^{\frac{5}{3}} \times {3}^{\frac{1}{3}} = {3}^{\frac{5}{3} + \frac{1}{3}}$

$= {3}^{\frac{6}{3}} = {3}^{2} = 9$