Вычислить: 1) [tex] 15^{2/3} *3^{7/3}/5^{-1/3} [/tex]. Created by GameKyu99. algebra-ru

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July 2022 2 10 Report

Вычислить:
1) [tex] 15^{2/3} *3^{7/3}/5^{-1/3} [/tex]

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

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nafanya2014

Verified answer

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

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