Mathematics: Does anyone know this? (Step by step)

Does anyone know this? (Step by step)

Ответ:

samantha9014

26.02.2021

Mathematics

no sorry

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Ответ:

21hendlill

20.09.2020

Mathematics

$\bf ~~~~~~~~~~~~\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^{-n} \qquad \qquad a^n\implies \cfrac{1}{a^{-n}} \\\\ -------------------------------$

$\bf \cfrac{(4x^2y^3z^5)^3}{(2x^5y^2z^6)^3}\implies \stackrel{\textit{distributing the exponent}}{\cfrac{(4^3x^{2\cdot 3}y^{3\cdot 3}z^{5\cdot 3})}{(2^3x^{5\cdot 3}y^{2\cdot 3}z^{6\cdot 3})}}\implies \cfrac{64x^6y^9z^{15}}{8x^{15}y^6z^{18}} \\\\\\ \cfrac{64}{8}\cdot \cfrac{x^6y^9z^{15}}{x^{15}y^6z^{18}}\implies \cfrac{8}{1}\cdot \cfrac{y^9y^{-6}}{x^{15}x^{-6}z^{18}z^{-15}}\implies 8\cdot \cfrac{y^{9-6}}{x^{15-6}z^{18-15}} \\\\\\ \cfrac{8y^3}{x^9z^3}$

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