[Video] Q3: Which of the following is equal to a^2/3, for all values of a ?

Explanation for Question 3 From the Math (No Calc) Section on the Official Sat Practice Test 3

So here in number three, we're given an exponent, 2 right. A to the two thirds, 3 and then we're asked how we can change that into radical form. 4 And so there's a general way that you can change all, 5 um, exponent fractions into radical form and the way that I like to think 6 it, think about it. And I'll draw that down here with an X is 7 that you can convert it so that the, 8 a stays here, right? 9 And the beam is going to be on the outside of your radical. 10 And just a silly way to remember this is that right? 11 The bee can't go over the top because the radical actually blocks it, 12 but the bee could sneak underneath the radical. 13 And so that's why the B ends up in the denominator mathematically. 14 That's not why, but just a silly kind of way that you can remember 15 that for future questions. Um, 16 but anyways, so it's in the numerators on the inside, 17 what's in the denominators on the outside. So when we write this, 18 it'll stay a squared and the three will come to the outside of our 19 radical, which we see in answer choice D.