Answer
$\dfrac{a^{1/4}a^{-1/2}}{a^{2/3}}=\dfrac{1}{a^{11/12}}$
Work Step by Step
$\dfrac{a^{1/4}a^{-1/2}}{a^{2/3}}$
Evaluate the product in the numerator:
$\dfrac{a^{1/4}a^{-1/2}}{a^{2/3}}=\dfrac{a^{1/4-1/2}}{a^{2/3}}=\dfrac{a^{-1/4}}{a^{2/3}}=...$
Evaluate the division. Remember to provide an answer without negative exponents:
$...=a^{-1/4-2/3}=a^{-11/12}=\dfrac{1}{a^{11/12}}$
