When x^m is multiplied by xⁿ, product is 1. The relation between m and n is?

A. mn = 1

B. m + n = 1

C. m = n

D. m = -n

Answer: Option D

Solution(By Examveda Team)

$$\eqalign{ & {x^m} \times {x^n} = 1 \cr & {x^{m + n}} = {x^0}\left[ {{x^0} = 1} \right] \cr & m + n = 0 \cr & m = - n \cr} $$