Question

find the value of m if,(3/5)^2m *(9/25)^3=(3/5)^-2

Answer 1

Answer:

Given,

(3/5)^2m*(9/25)^3=(3/5)^-2

Step-by-step explanation:

(3/5)^2m*3^6/5^6=3^-2/5^-2

(3/5)^2m = 3^-2*5^6/5^-2*3^6

(3/5)^2m = 5^4/3^4

(3/5)^2m = (3/5)^- 4

2m = - 4

m= - 4/2

m= - 2