How do you simplify $(3e^x)(2e^4x)$ ?

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Answer 1 · 2015-04-08T23:32:38

I would try multiplying as:
$3*2e^x*e^4*x=6xe^(x+4)$

I am not sure you can go beyond this...

Answer 2 · 2015-04-08T23:35:17

Remember $(a^m)*(a^n) = (a^(m+n))$

and $(ab) * (cde)$ can be re-arranged as $(ac) * (bd) * (e)$

Therefore
$(3e^x)(2e^4x)$

$= (3xx2)(e^(x+4))(x)$

$=6e^(x+4)x$

How do you simplify (3e^x)(2e^4x)(3e^x)(2e^4x)?