# Chapter 7 - Section 7.2 - Rational Exponents - Exercise Set: 33

$(19xy)^{\frac{3}{2}}$

#### Work Step by Step

RECALL: $(\sqrt[n]{a})^m=\left(a^{\frac{1}{n}}\right)^m=a^{\frac{m}{n}}$ For the given expression, $n=2$, $a=19xy$, and $m=3$. Thus, using the rule above gives: $\left(\sqrt{19xy}\right)^3=\left((19xy)^{\frac{1}{2}}\right)^3=(19xy)^{\frac{3}{2}}$

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