# How do you solve 4x^(3/4)= 108?

Jun 16, 2016

$x = 81$

#### Explanation:

Divide by 4 to give ${x}^{\frac{3}{4}} = \frac{108}{4} = 27$

Raise both sides to the power of $\frac{4}{3}$

${x}^{\left(\frac{3}{4}\right) \times \left(\frac{4}{3}\right)} = {27}^{\frac{4}{3}}$

$x = {\sqrt[3]{27}}^{4}$

$x = {3}^{4} = 81$