Question

find the value of m for which 9^m÷ 3^-2 = 9^4​

Answer 1

Hlo friend..

3^2m ÷ 3^-2= ( 3²)⁴

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

3^2m+2 = 3^8

When the bases are same, then powers will equate.

2m + 2 = 8

2m = 8-2

2m = 6

m = 6/2

m = 3

Answer 2

Answer:

m=3

Step-by-step explanation:

9^m÷3^-2=9^4

9^m×3^2=9^4

9^m×9=9^4

9^(m+1)=9^4

m+1=4

m=3