# How do you write m^2.4 in radical form?

##### 1 Answer
Jul 28, 2016

${m}^{2.4} = {m}^{\frac{12}{5}} = \sqrt[5]{{M}^{12}}$

#### Explanation:

Rational exponent, like ${m}^{\frac{P}{Q}}$ mean, by definition, $\sqrt[Q]{{m}^{P}}$

Therefore,
${m}^{2.4} = {m}^{\frac{12}{5}} = \sqrt[5]{{M}^{12}}$

The reason for the above definition of rational exponent can be found in the lecture found at menu items "Algebra" - "Exponential Functions" on UNIZOR.COM