00:01
For this problem, we are given the equation 375 is equal to 24 x to the third power, and we are asked to solve for x.
00:10
So let's get started.
00:12
First, i'm going to divide both sides by 24 in an attempt to try to get x cubed by itself in one side of the equation.
00:23
So i'm going to have 375 over 24 as a fraction on the left hand side, and just x to third power on the right hand side.
00:34
Now 375 over 24, it can be reduced.
00:38
It's not in lowest terms at the moment.
00:42
I believe both of these can be divided by 3.
00:46
So 375 divided by 3 is 125, and 24 divided by 3 is 8.
00:53
So that would be the fraction in lowest terms.
00:58
Now this fraction is equal to x to the third power.
01:01
So we need to somehow, well, there's a couple different ways of thinking about it.
01:07
Either we can try to think about maybe cube rooting both sides.
01:15
Maybe that's the way to go...