00:01
We're being asked to multiply the square root of a by the 6th root of b, but we can't multiply right away because they don't have the same index.
00:07
So the first thing we need to do is convert them to rational exponent form.
00:11
So our general rule says if we have the nth root of x to the m power, in rational exponent form, that would be x to the m over n power.
00:21
And don't forget, if you don't see an index, it's an imaginary 2.
00:24
And if you don't see an exponent, it's an imaginary 1.
00:27
So we can rewrite the square root of a as a to the one -half power, and we can rewrite the six root of b as b raised to the one -sixth power.
00:39
Now, these two terms don't have the same base.
00:42
So the key thing here is that our denominators both have to be the same.
00:46
Well, our common denominator is six...