## Algebra: A Combined Approach (4th Edition)

$\dfrac{a^{1/4}a^{-1/2}}{a^{2/3}}=\dfrac{1}{a^{11/12}}$
$\dfrac{a^{1/4}a^{-1/2}}{a^{2/3}}$ 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: $...=a^{-1/4-2/3}=a^{-11/12}=\dfrac{1}{a^{11/12}}$