Answer
$x=8$
Work Step by Step
Add 16 to both sides:
$x^{\frac{4}{3}}=16$
To eliminate the rational power of $x$, raise both sides to $\frac{3}{4}$ power (the reciprocal of $\frac{4}{3}$) to obtain:
$x= 16^{\frac{3}{4}}$
RECALL:
$a^{\frac{m}{n}} = (\sqrt[n]{a})^m$
Use the rule above to obtain:
$x= (\sqrt[4]{16})^3$
Write 16 as $2^4$ to obtain:
$x=(\sqrt[4]{2^4})^3$
Simplify to obtain:
$x=(2)^3
\\x=8$
