Reece Black

2022-11-26

Which shows the following expression after the negative exponents have been eliminated?

beechenUSR

Expert

Consider the given expression.
$\frac{{m}^{7}{n}^{3}}{m{n}^{-1}}$
It is also given that m and n are non-zero values.
$\frac{{m}^{7}{n}^{3}}{m{n}^{-1}}=\left(\frac{{m}^{7}}{m}\right)\left(\frac{{n}^{3}}{{n}^{-1}}\right)\phantom{\rule{0ex}{0ex}}\frac{{m}^{7}{n}^{3}}{m{n}^{-1}}=\left({m}^{7-1}\right)\left({n}^{3-\left(-1\right)}\right)\phantom{\rule{0ex}{0ex}}\frac{{m}^{7}{n}^{3}}{m{n}^{-1}}=\left({m}^{6}\right)\left({n}^{4}\right)\phantom{\rule{0ex}{0ex}}\frac{{m}^{7}{n}^{3}}{m{n}^{-1}}={m}^{6}{n}^{4}$

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