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#