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Question

If (xm×xnxp)q=xK then what is the value of K?

A
(m + n + q)
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B
(m + n - p)q
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C
(m + n) (n + q)
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D
(pq) (mn)
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Solution

The correct option is B (m + n - p)q
(xm×xnxp)q=xK

(xm+nxp)q=xK [ am×an=am+n]

(xm+np)q=xK [ am÷an=amn]

x(m+np) q=xK [ (am)n=amn]

K=(m+np)q

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