Multiply or divide, as indicated. 15p^3/9p^2 * 12p/10p^3

Question

Accepted Answer

Hello, everyone. We're gonna multiply the expressions 36 A of the fourth over 18 A of the third times 24 A squared over 88 of the fourth. And we're gonna make sure our answer is as simplified as possible. So first thing I'm gonna do is I want to rewrite this. So my expressions are one over the other. So I have 36 A to the fourth over 18 A to the third times 24 A squared over eight A to the fourth. So recall that when you have two fractions multiplied, you can cross red reduce. So cross reducing here is gonna help us make this simpler before we even do our multiplication. First thing I see that I can cross reduce is eight of the fourth and eight of the fourth. I conduce any numerator with any denominator as long as they're factors and I'm not breaking up addition or subtraction. Next thing I see that should reduce pretty simply is 36 and 18. I know that 18 goes into 18 once and goes into 36 twice. Now from there, I wanna look at, I'm gonna look at my 24 and my eight because I know eight goes evenly into 24 eight goes into eight once, goes into 24 3 times. Now, things are getting a little messy. So I'm gonna rewrite what I have left. So I can see if there's anything else that reduces in that first fraction. I have 2/8 of the third still in my second fraction. I have three A squared and I only have a one in the denominator. So it looks like the only things left that could be reduced are A to the third and A squared. So I can cancel a squared out and that will reduce A to the third to a. It's now multiplying straight across two times three is six a times one is a. So my solution ends up being six over A which is answer choice. D have a nice day.

Multiply or divide, as indicated. 15p^3/9p^2 * 12p/10p^3

Key Concepts

Simplifying Fractions

Multiplying Monomials

Dividing Monomials

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