### Video Transcript

Simplify π₯ to the fourth π¦ to the fourth times π₯ squared π¦ to the fourth over π₯
to the fourth π¦ cubed.

Okay, where should we start here? The first thing I notice is that thereβre some multiplication in the numerator that I
can simplify. If Iβm multiplying π₯ to the fourth times π₯ squared, then I would add those two
exponents together, π₯ to the four plus two. I can do the same thing with the π¦s here. π¦ to the fourth times π¦ to the fourth would be equal to π¦ to the four plus
four.

Okay, we can simplify a little bit more. Now we have π₯ to the sixth power times π¦ to the eighth power over π₯ to the fourth
π¦ cubed. When weβre dealing with dividing exponents, thereβs a few ways we can think about
this. We could think about it like this. π₯ to the sixth power means π₯ multiplied together six times. And over π₯ to the fourth power is π₯ multiplied together four times. If you think about it this way, then π₯ over π₯ equals one and can be crossed out,
leaving us with π₯ squared times π¦ to the eighth over π¦ cubed.

Another way to think of this so that you donβt have to draw it out every time is to
look at the exponent in the numerator and the exponent in the denominator. Here we have eight and three. What we do is we subtract three from eight. And that will give us the value that weβre left with. If we take away three π¦s from the eight π¦s on top, weβll be left with π¦ to the
fifth power.

The simplified form of this fraction is π₯ squared times π¦ to the fifth.