Powers that are fractions?

I have a question I'm not sure how to answer because I've never seen a power that is a fraction before. I need to simplify;

x^(1/3) times x^(2/3)

After some googling I think the fraction represents a cubed root, so the answer should be;

cubed root of (x times x^2)

Is that right?

Re: Powers that are fractions?

Yes.

(for real x).

Re: Powers that are fractions?

Quote:

Originally Posted by

**Badgers** I have a question I'm not sure how to answer because I've never seen a power that is a fraction before. I need to simplify;

x^(1/3) times x^(2/3)

After some googling I think the fraction represents a cubed root, so the answer should be;

cubed root of (x times x^2)

Is that right?

The index laws hold for powers that are ANY numbers, so you can use to simplify.

Re: Powers that are fractions?

Oh, rad! You guys are awesome! Thanks :D