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08-10-2018
Mathematics

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Simplify the expression.
(m^2n^-5)/m^7n^-17

Respuesta :

08-10-2018

[tex]\dfrac{m^2n^{-5}}{m^7n^{-17}}=m^{2-7}n^{-5-(-17)}=m^{-5}n^{-5+17}=m^{-5}n^{12}\\\\=\dfrac{n^{12}}{m^5}\\\\Used:\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\a^{-n}=\dfrac{1}{a^n}[/tex]

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