# Exponentials - Quick Question

• October 19th 2008, 02:18 PM
r_maths
Exponentials - Quick Question
Simplify:

$exp(x^3 )^3 = exp(3x^3 )$

Is the answer right? Thanks.
• October 19th 2008, 02:21 PM
Tony2710
No, not quite right.

If you put some values in for x then you'll see that's it not right.

The rule you need is:

$(x^n)^m=x^{nm}$

Hope that helps!
• October 23rd 2008, 01:04 PM
r_maths
Turns out the answer was infact:

$
exp(3x^3 )
$
• October 23rd 2008, 01:07 PM
Moo
Hello,
Quote:

Originally Posted by r_maths
Turns out the answer was infact:

$
exp(3x^3 )
$

that was the answer you would have found if you followed the hint and that you found =)

$\exp(x^3)^3=\left(e^{x^3} \right)^3=e^{3x^3}=\exp(3x^3)$