Question

$frac{ a^{2}* sqrt[3]{ a^{5} } }{ sqrt{ a^{3} } * sqrt[4]{ a^{2} }}$

Answer 1

$a^2 sqrt[3]{a^5}/ sqrt{a^3} sqrt[4]{a^2} }=a^{2+5/3}/a^{3+1/2}=a^{9/3-7/2}=a^{-1/3}=1/ sqrt[3]{a}$ [/tex]