Simplify- amanm-n- analn-l-alaml-m

(a^ma^n)^m+n.(a^na^l)^n+l.(a^la^m)^l+m =(a^m n)^m+n.(a^n l)^n+l.(a^l m)^l+m =a^m^2 n^2+n^2 l^2+l^2 m^2 =a^0=1 ...

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Simplify: a...

Question

Simplify: ${(\frac{a^{m}}{a^{n}})}^{m + n} . {(\frac{a^{n}}{a^{l}})}^{n + l} . {(\frac{a^{l}}{a^{m}})}^{l + m}$

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Solution

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\frac{{(a^{m} \times a^{n} \times a^{l})}^{2}}{a^{m + n} \times a^{n + l} \times a^{l + m}}

\frac{1}{1 + a^{m - n}} + \frac{1}{1 + a^{n - m}}

\frac{1}{1 + a^{n - m}} + \frac{1}{1 + a^{m - n}}

\frac{a^{m} \times a^{n}}{a^{m - n}}

{(a^{m})}^{n} = {(a^{n})}^{m}

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