# How do you use laws of exponents to simplify x^(3/4) * x^(1/3)?

Aug 5, 2015

$= {x}^{\textcolor{b l u e}{\frac{13}{12}}}$

#### Explanation:

${x}^{\frac{3}{4}} \cdot {x}^{\frac{1}{3}}$

• As per property color(blue)(a^m*a^n=a^(m+n)

Applying the same to the above expression:

=x^color(blue)((3/4 + 1/3)

$= {x}^{\textcolor{b l u e}{\frac{9 + 4}{12}}}$

=x^color(blue)((13/12)