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

1mn = 1
2m + n = 1
3m = n
4m = -n

Answer:- 1

Explanation:-

Solution:

\begin{aligned} x^{m} \times x^{n} = 1 \\ x^{m + n} = x^{0} [x^{0} = 1] \\ m + n = 0 \\ m = - n \end{aligned}

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

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} x^{m} \times x^{n} = 1 \\ x^{m + n} = x^{0} [x^{0} = 1] \\ m + n = 0 \\ m = - n \end{aligned}

$\eqalign{ & {x^m} \times {x^n} = 1 \cr & {x^{m + n}} = {x^0}\left[ {{x^0} = 1} \right] \cr & m + n = 0 \cr & m = - n \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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