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

Oct 13, 2016

${x}^{\frac{8}{15}}$

#### Explanation:

When you multiply with exponents it is necessary to add the exponents of any like bases

${x}^{2} \times {x}^{2}$ = ${x}^{2 + 2} = {x}^{4}$

So it is necessary to add $\frac{1}{3} + \frac{1}{5}$ Find a common denominator

for $\frac{1}{3}$ and $\frac{1}{5}$ The common denominator is 15.

multiply $\frac{1}{3} \times \frac{5}{5} = \frac{5}{15}$

multiply $\frac{1}{5} \times \frac{3}{3} = \frac{3}{15}$ add the two fractions.

total            =    8/15

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

=${x}^{\frac{8}{15}}$