Math, asked by idontknowyou72, 11 months ago

HHHEEEELLLPPPPPP!!

This is such a simple question but I am not getting it! -_-"

Proof the given attachment !

Gracias!​

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Answers

Answered by shadowsabers03
16

Well,

\begin {aligned}&\textsf{LHS}\\\\\implies\ \ &a^m\div a^n\\\\\implies\ \ &\dfrac {a^m}{a^n}\\\\\implies\ \ &\dfrac{\overbrace{a\times a\times a\times\dots\times a}^{m}}{\underbrace{a\times a\times a\times\dots\times a}_{n}}\end{aligned}

Let m>n, so,

\begin{aligned}\implies\ \ &\dfrac{\overbrace{a\times a\times a\times\dots\times a}^{m-n+n}}{\underbrace{a\times a\times a\times\dots\times a}_{n}}\\\\\implies\ \ &\dfrac{\overbrace{a\times a\times a\times\dots\times a}^{m-n}\times\overbrace{a\times a\times a\times\dots\times a}^{n}}{\underbrace{a\times a\times a\times\dots\times a}_{n}}\end {aligned}

\begin {aligned}\implies\ \ &\underbrace{a\times a\times a\times\dots\times a}_{m-n}\\\\\implies\ \ &a^{m-n}\\\\\implies\ \ &\textsf {RHS}\end {aligned}

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