# How do you write x^(9/4) as a radical form?

Feb 10, 2016

${x}^{\frac{9}{4}}$ is $\sqrt[4]{{x}^{9}}$.

#### Explanation:

The numerator denotes the actual exponent, like ${x}^{2}$. Therefore, we so far have ${x}^{9}$ . Now the denominator denotes the numbered root of $x$. So, ${x}^{\frac{1}{4}}$ would be $\sqrt[4]{x}$ . Therefore, ${x}^{\frac{9}{4}}$ is $\sqrt[4]{{x}^{9}}$.

And we are done.

Feb 13, 2016

${x}^{\frac{9}{4}} = \sqrt[4]{{x}^{9}}$

#### Explanation:

Remember the formula color(blue)(x^(a/b)=root(b)(x^a)

Substitute ans find the answer... :)