00:06
All right, we are working on number 36.
00:13
And we're supposed to evaluate this without a calculator.
00:16
The fourth root of 0 .016.
00:25
Hopefully you're not starting with this problem.
00:28
The previous ones kind of lead up to it really nicely.
00:31
But i'm going to use a couple of different facts to make this easier.
00:35
The first one is know that this number, if i like were to say, i can say .0016, but i also could say 16, 10 ,000th.
00:47
Like, it's the same thing.
00:49
When we learn what decimals mean, we know that this is the tens place, hundreds, thousands, and the 10 ,000th place.
00:56
Okay, so this decimal is actually equivalent to 16, 10 ,000th.
01:08
That's 1 ,000.
01:09
That's 10 ,000.
01:11
So i can use this information to help me out.
01:15
I can break this up into a number that i can actually.
01:18
Do something with because when you first see that decimal you're like i can't do it i can't do it i'm going home don't worry.
01:25
You don't have to the other thing that you have to remember is that this thing any root really of a fraction is equal to that root of the denumerator over that root of the denominator okay, so i'm going to combine those two facts over here this is the opposite of if this is on the outside just save it for the very end do all your work and make sure you don't lose this all the way through it.
01:57
Okay.
01:58
So this is the equivalent of, remember how i was going to rewrite this as a fraction? let's do that.
02:10
Make sure you keep the right number of zeros.
02:13
It's the 10 ,000th place.
02:17
That is equal to the opposite of the fourth root of 16 over the fourth root of 10 ,000...