The correct option is B 1We have, 11+a^m n+11+a^n m =11+a^ma^n+11+ a^na^m =a^na^n+a^m+a^ma^m+a^n =a^n+a^ma^n+a^m =1 Hence, this is the ...

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Power Law of Exponent

11+am-n+11+an...

Question

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

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Solution

The correct option is B 1
We have,
$\frac{1}{1 + a^{m - n}} + \frac{1}{1 + a^{n - m}}$

$= \frac{1}{1 + \frac{a^{m}}{a^{n}}} + \frac{1}{1 + \frac{a^{n}}{a^{m}}}$

$= \frac{a^{n}}{a^{n} + a^{m}} + \frac{a^{m}}{a^{m} + a^{n}}$

$= \frac{a^{n} + a^{m}}{a^{n} + a^{m}}$

$= 1$

Hence, this is the answer.

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Similar questions

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

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