Question

Упростите выражение, используя свойства степеней:

Answer 1

$\frac{9a^\frac{4}{5}}{a^\frac{9}{5}+2a^{-\frac{1}{5}}}= \frac{9a^\frac{4}{5}}{\frac{a^{\frac{9}{5}+\frac{1}{5}}+2a^{\frac{1}{5}-\frac{1}{5}}}{a^\frac{1}{5}}}= \frac{9a^\frac{4}{5}}{\frac{a^2+2a^0}{a^\frac{1}{5}}}=\frac{9a^{\frac{4}{5}+\frac{1}{5}}}{a^2+2}=\frac{9a^1}{a^2+2}=$

$=\frac{9a}{a^2+2}$