# How do you simplify sqrt(300x^11y^5)?

Dec 22, 2016

${300}^{\frac{1}{2}} {x}^{\frac{11}{2}} {y}^{\frac{5}{2}}$

#### Explanation:

$\sqrt{300 {x}^{11} {y}^{5}}$ can be rewritten as:

${\left(300 {x}^{11} {y}^{5}\right)}^{\frac{1}{2}}$

We can now use the following exponent rule to simplify this expression:

$\textcolor{red}{{\left({x}^{a}\right)}^{b} = {x}^{a \cdot b}}$

$\left({300}^{\frac{1}{2}} {x}^{11 \cdot \frac{1}{2}} {y}^{5 \cdot \frac{1}{2}}\right)$

${300}^{\frac{1}{2}} {x}^{\frac{11}{2}} {y}^{\frac{5}{2}}$