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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
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(2a)/(3m)
User Chargaff
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