# Chapter 10 - Section 10.2 - Rational Exponents - Exercise Set: 58

$\dfrac{(m^{2}n)^{1/4}}{m^{-1/2}n^{5/8}}=\dfrac{m}{n^{3/8}}$

#### Work Step by Step

$\dfrac{(m^{2}n)^{1/4}}{m^{-1/2}n^{5/8}}$ Evaluate the power indicated in the numerator: $\dfrac{(m^{2}n)^{1/4}}{m^{-1/2}n^{5/8}}=\dfrac{m^{1/2}n^{1/4}}{m^{-1/2}n^{5/8}}=...$ Evaluate the division. Give the answer without negative exponents: $...=m^{1/2+1/2}n^{1/4-5/8}=mn^{-3/8}=\dfrac{m}{n^{3/8}}$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.