# How do you express  4sqrt(x^2) with fractional exponents?

Jun 3, 2018

$4 \cdot {\left({x}^{2}\right)}^{\frac{1}{2}}$

#### Explanation:

The actual answer is just $4 x$ when simplified.

When something is squared then you write it as to the power of $\frac{1}{2}$. You can also write any root to the power of a fraction.

For example, $\sqrt{{3}^{3}}$ would be written as ${\left({3}^{3}\right)}^{\frac{1}{2}}$. When writing the root of a number that is already raised to another power, for example $\sqrt[5]{{3}^{3}}$ then it can be written as ${3}^{\frac{3}{5}}$. The denominator of the fraction is the root and the numerator is the power the number is raised to.

Hope this helps!