# Math Help - SAT Question that I can't figure out

1. ## SAT Question that I can't figure out

I took a diagnostic and my teacher said to just skip it. I want an 800 or close to one in math so I can't. The question is:

((a^1/2)(b^1/3))^6 = 432, what is ab equal to?

Anyone know how to solve it? Thanks!

2. Originally Posted by bonykid07
I took a diagnostic and my teacher said to just skip it. I want an 800 or close to one in math so I can't. The question is:

((a^1/2)(b^1/3))^6 = 432, what is ab equal to?

Anyone know how to solve it? Thanks!
$a^3 \cdot b^2 = 3^3 \cdot 4^2$

3. Oh, you did just plug in right? Just backwards? He told us the answer I just wasn't sure how to find the answer, but that helps. Thanks!

Wait, are we allowed to distribute the ^6 to make it a^2b^3? How did that happen?

Okay, just looked at it. (a^1/2)^6 equals a^3 because we add the exponents right? And same for b^1/3. Okay, got it. Thanks!