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

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

m=?

n=?

m=4

n=-2

Step-by-step 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