Question

Find the value of ‘m’:

Answer 1

Answer:

m = 2

Step-by-step explanation:

9^m ÷ 9⁻³ = 9⁵

we can write this as,

9^m / 9⁻³ = 9⁵

9^m = 9⁵ × 9⁻³

9^m = 9⁽⁵⁺⁽⁻³⁾⁾ = 9⁽⁵⁻³⁾ = 9²

∴ The value of m = 2

"HOPE IT HELPS"

Answer 2

Answer:

Evaluate m.

9m / 3^-2 =9^4

Write 9= 3 x 3 = 3²

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

3^2m+2 = 38

2m +2=8

2m = 6

m = 3

The value of mfor which 9^m) 3^-2= 9^4

is 3

I hope it helps you