Спростіть вираз: -1 3/5m⁴n³*(-1/2m³p⁴)³. Created by gukiech. algebra-ru

2m³p⁴)³...

gukiech @gukiech

July 2022 1 10 Report

Спростіть вираз: -1 3/5m⁴n³*(-1/2m³p⁴)³

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papagenius

Решение и ответ:

$\displaystyle -1\frac{3}{5}{m^4}{n^3} \cdot {\left({-\frac{1}{2}{m^3}{p^4}} \right)^3}=-1\frac{3}{5}{m^4}{n^3}\cdot \left( {{{\left({-\frac{1}{2}} \right)}^3}{m^{3\cdot 3}}{p^{4 \cdot 3}}} \right)=-1\frac{3}{5}{m^4}{n^3} \cdot \left({-\frac{1}{8}{m^9}{p^{12}}} \right)=$ $\displaystyle =-1\frac{3}{5}\cdot \left({-\frac{1}{8}} \right){m^{4+9}}{n^3}{p^{12}}=-\frac{8}{5} \cdot \left({-\frac{1}{8}} \right){m^{13}}{n^3}{p^{12}}=\frac{1}{5}{m^{13}}{n^3}{p^{12}}= \boxed{\frac{{{m^{13}}{n^3}{p^{12}}}}{5}}$

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