Упростите и вычислите (9a^-5/24/a^1/8a^5/3) при a=24

$\left( \cfrac{9a^{- \frac{5}{24} }}{a^{ \frac{1}{8} }a^{ \frac{5}{3} }} \right)^{ \frac{1}{3} }=\left( \cfrac{9a^{- \frac{5}{24} }}{a^{ \frac{1}{8} + \frac{5}{3} } }} \right)^{ \frac{1}{3} }=\left( \cfrac{9a^{- \frac{5}{24} }}{a^{ \frac{43}{24}} }} \right)^{ \frac{1}{3} }=\left( \cfrac{9}{a^{ \frac{5}{24} }a^{ \frac{43}{24}} }} \right)^{ \frac{1}{3} }=$

$=\left( \cfrac{9}{a^{ \frac{48}{24} } }} \right)^{ \frac{1}{3} }=\left( \cfrac{9}{a^{ 2}} \right)^{ \frac{1}{3} }= \sqrt[3]{ \cfrac{9}{a^2} }= \cfrac{ \sqrt[3]{9} }{\sqrt[3]{a^2} } = \cfrac{ \sqrt[3]{9}*\sqrt[3]{a} }{\sqrt[3]{a^2}* \sqrt[3]{a} } =\cfrac{ \sqrt[3]{9a} }{a}$

при а=24

$\cfrac{ \sqrt[3]{9a} }{a}=\cfrac{ \sqrt[3]{9*24} }{24}=\cfrac{ \sqrt[3]{216} }{24}= \cfrac{6}{24}= \cfrac{1}{4}=0.25$