Question

Упростите и вычислите: (a^1/5a^2/3/2a^4/5)^-5 при a=125

Answer 1

$= left( cfrac{a^{ frac{1}{5}+ frac{2}{3}- frac{4}{5} }}{2} right)^{-5} = left( cfrac{a^{ frac{1}{15}}}{2} right)^{-5}=left( cfrac{2}{a^{ frac{1}{15}}} right)^{5}=cfrac{2^5}{(a^{ frac{1}{15} })^5} =cfrac{32}{ sqrt[3]{a} }$

при а=125

$cfrac{32}{ sqrt[3]{a} } =cfrac{32}{ sqrt[3]{125} } =cfrac{32}{ 5 } =6.4$