Question

Вычислить: 1)

Answer 1

$15^{ \frac{2}{3}}\cdot \frac{3^{ \frac{7}{3}} }{5^{- \frac{1}{3}} } =15^{ \frac{2}{3}}\cdot \ 3^{ \frac{7}{3}} \cdot 5^{ \frac{1}{3}} } = \sqrt[3]{15^2\cdot 3^7\cdot 5}= \sqrt[3]{3^2\cdot 5^2\cdot 3^7\cdot 5}= \\ \\ = \sqrt[3]{3^9\cdot 5^3}=3^3\cdot 5=135$

Answer 2

$=3^ \frac{2}{3}*5^ \frac{2}{3}*3^ \frac{7}{3}:5^-^ \frac{1}{3}=3^ \frac{2}{3}^+^ \frac{7}{3}*5^ \frac{2}{3}^-^(^-^ \frac{1}{3}^)=3^3*5^1=9*5=45$