Lesson 10: Applying Them Together #3

[One speaker] 

[Any necessary descriptions.]

Narrator: we are going to simplify this expression here and we are going to use all the many rules we have been learning in this section. So to get started im gonna look here and i'm going to see that i have an x on top multiple x’s on top and i have the same base that i can combine using our product rule so i'm going to rewrite that as x to the five plus to times y cubed and then for now i'm going to leave everything on the bottom the same so x to the sixth time sy squared. And that will give me x raised to the seventh times y cubed over x to the sixth y squared. And now we can use our quotient rule. And remember when we’re dividing by the same base that we can subtract our exponents x raised to the 7, minus 6 and y raised to the 3 minus 2. And 7-6 is just one, so I can write that as X to the first power, or we could just leave that off, which we’ll do in a minute, and this will be y to the first power. We know that anything to the first power is just itself so we can write that as x times y.

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