Question

Найдите значение выражения

Answer 1

$\displaystyle \frac{\sqrt[30]{a}\sqrt[45]{a}}{a\sqrt[18]{a}}=\frac{\sqrt[90]{a^3}\sqrt[90]{a^2}}{a\sqrt[18]{a}}=\frac{\sqrt[90]{a^3\cdot a^2}}{a\sqrt[18]{a}}=\frac{\sqrt[90]{a^5}}{a\sqrt[18]{a}}=\frac{\sqrt[18]{a}}{a\sqrt[18]{a}}=\frac{1}{a}=\frac{1}{2}=0.5$

Answer 2

$\displaystyle \tt \frac{\sqrt[30]{a}\cdot \sqrt[45]{a}}{a\cdot \sqrt[18]{a}}=a^{\frac{1}{30}+\frac{1}{45}-\frac{1}{18}-1}=a^{\frac{3}{90}+\frac{2}{90}-\frac{5}{90}-1}=a^{-1}=\frac{1}{a};\\\\\\npu \ \ \ a=2 \ \ \ \ \ \frac{1}{a}=\frac{1}{2}=0,5$