Answer
$\sqrt {c}\sqrt[6]{d^{5}}$.
Work Step by Step
The given expression is
$=(cd)^{\frac{1}{2}}(d^{\frac{1}{3}})$
Raise the quotient to a power.
$=c^{\frac{1}{2}}d^{\frac{1}{2}}\cdot d^{\frac{1}{3}}$
Add exponents of powers with the same base.
$=c^{\frac{1}{2}}d^{\frac{1}{2}+\frac{1}{3}}$
Simplify.
$=c^{\frac{1}{2}}d^{\frac{3}{6}+\frac{2}{6}}$
$=c^{\frac{1}{2}}d^{\frac{3+2}{6}}$
$=c^{\frac{1}{2}}d^{\frac{5}{6}}$
Write in radical form.
$=\sqrt {c}\sqrt[6]{d^{5}}$.
