# How do you multiply \root[ 7] { ( x - 2) ^ { 3} } * \root [ 7] { ( x - 2) ^ { 6} }?

May 19, 2017

${\left(x - 2\right)}^{\frac{9}{7}}$

#### Explanation:

You can rewrite the expression as:

${\left(x - 2\right)}^{\frac{3}{7}} \cdot {\left(x - 2\right)}^{\frac{6}{7}}$

According to the law of exponents, if the bases of the two factors are equal, then you can add their exponents.

So, the equation above can be simplified to ${\left(x - 2\right)}^{\frac{9}{7}}$.