rachelhuang7104hawai rachelhuang7104hawai
  • 16-11-2020
  • Mathematics
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If (m+n)^2=m^2+n^2, what is (3^m)^n?

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BrainLifting
BrainLifting BrainLifting
  • 16-11-2020

Answer:

[tex](3^m)^n=1[/tex]

Step-by-step explanation:

[tex](m+n)^2=m^2+n^2\\m^2+2mn+n^2=m^2+n^2\\(m^2+n^2)-(m^2+n^2)+2mn=0\\2mn=0\\This\ equation\ has\ two\ solutions\ : m=0,n=0\\\\But\ either\ way\ will\ result\ in\ the\ same\ answer.\\If\ m=0\ then,\\(3^0)^n\\=1^n\\=1\\\\If\ n=0 \ then,\\(3^m)^0\\=1[/tex]

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