## College Algebra 7th Edition

$x=8$
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: $x=(2)^3 \\x=8$