65.5k views
3 votes
Please help me with 85. I don’t understand what to do.

Please help me with 85. I don’t understand what to do.-example-1

2 Answers

3 votes
You need to turn

14m ^(2) {a}^(3) m \\ / \\ 21 {a}^(2) {m}^(4)
into the simplest form. To do this, you must first find all instances of each variable. Then simplify the constant.

First, find M in both the numerator and denominator. In the numerator, there is M^2 and m, therefore, there are 3 Ms. In the denominator, there is M^4, so there are 4 Ms. Then, since 4 > 3, you subtract 3 from 4, and put the remainder in the denominator (since the 4 is from the denominator).

Second, find all of the As. There are 3 As in the numerator, and 2 in the denominator. Since 3 is bigger, we subtract and are left with 1 A in the numerator.

Third, find the numbers. There is a 14 in the numerator and a 21 in the denominator. 14 = 2 × 7, and 21 = 3 × 7, so both the numerator and denominator have a factor of 7, so you can cancel out the 7s. This leaves you with 2 on top and 3 on bottom.

The final solution then turns out to be:

2a \\ / \\ 3m
User Morpfh
by
7.3k points
3 votes


(2a)/(3m)
User Chargaff
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories