Question

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

(7z^m) (nz^3) = -14z^7

m= ?
n= ?

Answer 1

m=4

n=-2

Explanation:

(7z^m) (nz^3) = -14z^7

7*n z^(m+3) = -14 z^7

We know the constants have to be the same

7n = -14

Divide each side by 7

7n/7 = -14/7

n = -2

And the exponents have to be the same

m+3 = 7

Subtract 3 from each side

m+3-3 = 7-3

m =4