# How do you write root3x^2 as an exponential form?

Dec 24, 2016

This can be written as ${x}^{\frac{2}{3}}$. See explanation.

#### Explanation:

The general rule of rewriting power expressiobs states that:

## ${x}^{- \frac{a}{b}} = \frac{1}{\sqrt[b]{{x}^{a}}}$

The expression in the example has no fractions, so the exponent will be positive. The degree of the root (here $3$) becomes the denominator of the exponent, and the power (here $2$) is the numerator.

So finally: