00:01
For this problem, we're asked to simplify this expression.
00:06
Okay, so the first thing i'm going to do is i'm going to rewrite this expression and simplify some of the stuff together.
00:12
So i'm going to put three in front of 2x minus 5 raised to the 9th power and multiply 3x times 9 times 2, which is going to give us negative 54x, so minus 54x times 2x ,000.
00:31
Minus 5 to the eighth power, and then over, and then nine times exponent to exponent you multiply, so the denominator is going to be 2x minus 5 raised to the 18th power.
00:45
So on the numerator, i noticed that both has 2x minus 5.
00:49
So when you factor out that gcf, you take the lower exponent, which is 8.
00:54
So therefore, this is the same thing as if i take out 2x minus 5 to the 8th power, then what i have left over is going to be three times.
01:05
I still have one remaining of 2x minus 5 inside and then minus 54x over 2x minus 5 over 18.
01:25
So now i notice both outside has 2x minus 5.
01:28
So when you divide, you can just subtract the exponents...