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When xm is multiplied by xn product is 1 The relation...

This question belongs to Arithmetic Ability Algebra
Algebra
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When xm is multiplied by xn, product is 1. The relation between m and n is?

Answer & Solution
Correct Answer: Option D
$$\eqalign{ & {x^m} \times {x^n} = 1 \cr & {x^{m + n}} = {x^0}\left[ {{x^0} = 1} \right] \cr & m + n = 0 \cr & m = - n \cr} $$
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