# How do you express11x^(1/3) in simplest radical form?

Jul 24, 2015

You take the cube root from $x$ and multiply the result by 11.

#### Explanation:

An important thing to remember when dealing with fractional exponents is that exponents that take the form $\frac{1}{n}$ are equivalent to taking the ${n}^{\text{th}}$ root of something.

In your case, for $x > 0$, you have

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

This means that the original expression is equivalent to

$11 \cdot {x}^{\frac{1}{3}} = \textcolor{g r e e n}{11 \cdot \sqrt[3]{x}}$