Question

9 to the power m divided by 3 to the power minus 2 equals to 9 to the power 4

Answer 1

Answer:

9^m/3^-2 = 9^4

(3^2)^m/3^-2 = (3^2)^4

3^2m/3^-2 = 3^8

(3)^2m-2 = 3^8

On comparing the bases, we get-

2m-2 = 8

2m=8+2

2m = 10

m = 10/2

m = 5