Question

Find the values for m and n that would make the following equation true.

(4z^m)(nz^2)=44z^9

m=?
m=?

Answer 1

You would solve it in two parts.

4*n = 44     Divide by 4

4n/4 = 44/4

n = 11

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z^m * z^2 = z^9

When the bases are the same (on the left) the powers on the left add

m + 2

The powers on the left side of the equation are the same as the powers on the right when the bases are the same.

m + 2 = 9                 Subtract 2 from both sides.

m + 2 - 2 = 9 - 2

m = 7

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Answers

m = 7

n = 11