Exponentials - Quick Question

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October 19th 2008, 01:18 PM
r_maths

Exponentials - Quick Question

Simplify:

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

Is the answer right? Thanks.
October 19th 2008, 01:21 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, 12:04 PM
r_maths

Turns out the answer was infact:

$<br /> exp(3x^3 )<br />$
October 23rd 2008, 12:07 PM
Moo

Hello,

Quote:

Originally Posted by r_maths

Turns out the answer was infact:

$<br /> exp(3x^3 )<br />$

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

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

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