# How do you Simplify 4^(7/3) - 12^(4/3)? Please Step by Step

1. Dec 13, 2011

### mgmarygg

1. The problem statement, all variables and given/known data
(Square Root Exponents) 4(7/3) - 12(4/3)

For this problem The answer is 4x^2 - 12x but i tried i could not seem to obtain the same answer, could you please explain on how to do this step by step so I know do the rest of other problems

2. Relevant equations

3. The attempt at a solution

stuck :( 3√4x)7 - (3√12x)4
= (3√47x7) - (3√124x4)......

Last edited: Dec 13, 2011
2. Dec 13, 2011

### Staff: Mentor

What exactly is the problem? From the title it looks like you need to simplify 47/3 - 124/3, but this has absolutely nothing to do with 4x2 - 12x.

And what do "square root exponents" mean?

3. Dec 13, 2011

### Staff: Mentor

I think the correct equation is:

4 x ^ (7/3) - 12 x ^ (4/3)

Remember that x ^ (7/3) = x^2 * x ^ (1/3)

and that x ^ (4/3) = x * x^(1/3)

Last edited by a moderator: Dec 14, 2011
4. Dec 14, 2011

### e^(i Pi)+1=0

Assuming the above expression is correct, don't forget that you can factor out exponents. Don't let the fact that they're fractions distract you.