# How do you write 7^(1/3) in radical notation?

Sep 5, 2016

${7}^{\frac{1}{3}} = \sqrt[3]{7}$

#### Explanation:

Recall the law of indices: ${x}^{\frac{1}{2}} = \sqrt{x} \mathmr{and} \sqrt[3]{x} = {x}^{\frac{1}{3}}$

A fractional index is the same as a root.

${7}^{\frac{1}{3}} = \sqrt[3]{7}$

These two forms are interchangeable.
They are exactly equal- use the form you find easier to work with.