From basic algebra , we know that
am.an=am+na^m.a^n=a^{m+n}am.an=am+n
Hence , (ex)2=ex.ex=ex+x=e2x(e^x)^2=e^x.e^x=e^{x+x}=e^{2x}(ex)2=ex.ex=ex+x=e2x
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