00:01
In this exercise, we want to simplify this expression, assuming that the letters are positive real numbers.
00:06
So let's start with part a.
00:07
So we've got the sixth root of 64, a to the sixth, b to the seven.
00:13
So let's write this as 64th, a to the sixth, b to the seven, to the power of one -six.
00:20
So 64 to the power of one -six, the six -three to 64 is just two.
00:24
Now, a -to -the -six to one -six, that's going to give us six -time of one -six, which is one, so we just have a.
00:29
Then we have b to the 7, so 7 times 1 .6 is going to give us b to the 7 over 6.
00:36
And let's just write it in radicals so that it's 2 .a, b to, we'll say the 6 root of b to 7.
00:46
So that's our solution to a...