If (a power m ) n= a ke power c then express c interms of m and n

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Nandeesh asked Feb 1, 2022

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If (a power m ) n= a ke power c then express c interms of m and n

Mathematics
high-school

Nandeesh asked Feb 1, 2022

by Nandeesh

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If (a power m ) n= a ke power c then express c interms of m and n-example-1

Shuk answered Feb 2, 2022

by Shuk

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$\\ \tt\longmapsto (a^m)^n=a^c$

Simplify LHS

$\\ \tt\longmapsto a^(m(n))=a^c$

$\\ \tt\longmapsto a^(mn)=a^c$

$\\ \tt\longmapsto mn=c$

Tomas Krmela answered Feb 6, 2022

by Tomas Krmela

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