$ (e^{2x})=(e^x)^2$ Can Some one explain how these two are the same? I know it is trick, but I cannot see how it fits into the exponent rules. $ (e^{2x})=(e^x)^2$ 
Can Some one explain how these two are the same? I know it is trick, but I cannot see how it fits into the exponent rules. 

Asuuming you're familiar with $e^x\cdot e^y=e^{x+y}$ then $e^x\cdot e^x=e^{x+x}=e^{2x}$.
