How do you simplify sqrt(x^13)?

Mar 5, 2018

See a solution process below:

Explanation:

First, rewrite the expression as:

$\sqrt{{x}^{12} \cdot x}$

Now, use this rule for exponents to get to the simplification:

$\sqrt{\textcolor{red}{a} \cdot \textcolor{b l u e}{b}} = \sqrt{\textcolor{red}{a}} \cdot \sqrt{\textcolor{b l u e}{b}}$

$\sqrt{\textcolor{red}{{x}^{12}} \cdot \textcolor{b l u e}{x}} \implies \sqrt{\textcolor{red}{{x}^{12}}} \cdot \sqrt{\textcolor{b l u e}{x}} \implies {x}^{6} \sqrt{x}$