Answer
$5^{\frac{1}{6}}$
Work Step by Step
Simplify. $\dfrac{(5)^{\frac{1}{2}}}{(5)^{\frac{1}{3}}}$
Since, the power raised to a same exponent or base gets subtract when they are divide.
Thus, $\dfrac{(5)^{\frac{1}{2}}}{(5)^{\frac{1}{3}}}=5^{\frac{1}{2}-\frac{1}{3}}$
or, $=5^{\frac{3-2}{6}}$
Hence, $=5^{\frac{1}{6}}$
