00:01
Given the fourth root of g to the third times h to the fifth over 9 r to the 6th, we're going to rewrite this using the quotient property, which says we can rewrite this as the fourth root of g to the third, h to the fifth, over the fourth root of 9 r to the 6th.
00:19
Now we're going to simplify this.
00:21
We're going to pull out things in groups of four since we're talking about the fourth root.
00:25
I get the fourth root.
00:26
I don't have enough gs.
00:28
We only have three, so that stays inside.
00:30
But i have five h's.
00:32
We can pull four of them out as one group.
00:34
I'm going to put an h out here, and we're left with one left over h inside the radical.
00:40
Over, we get the fourth root of nine.
00:43
I've got six r's, so we can pull out one group of four, and we're left with two left over.
00:49
So we get, so far, we get h times the fourth root of g to the third times h over r times the fourth root of nine r square.
00:57
We don't leave radicals in the denominator, so we need to multiply this by, fraction equivalent to one such that we're going to get rid of that radical...