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Minimiere den Term:

\(\sqrt[ 5]{\dfrac{bx^{-2}}{a^{-4}y^6}}\cdot \sqrt[ 5]{\dfrac{bx^4}{a^{-2}y^6}}:\sqrt[ -5]{\dfrac{bx^4}{a^{-2}y^6}}\)

 15.07.2021
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Hallo Gast!

 

\(\sqrt[ 5]{\dfrac{bx^{-2}}{a^{-4}y^6}}\cdot \sqrt[ 5]{\dfrac{bx^4}{a^{-2}y^6}}:\sqrt[ -5]{\dfrac{bx^4}{a^{-2}y^6}}\\ = \sqrt[5]{\dfrac{b\cdot a^4}{x^2\cdot y^6}\cdot \dfrac{a^2\cdot b\cdot x^4}{y^6}\cdot \dfrac{a^2\cdot b\cdot x^4}{y^6}}\)

\(=\sqrt[5]{\dfrac{a^8\cdot b^3\cdot x^6}{y^{18}} }\\ =\color{blue}\dfrac{a\cdot x}{y^3}\cdot \sqrt[5]{\dfrac{a^3\cdot b^3\cdot x}{y^{3}}}\)

laugh  !

 17.07.2021

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