Question

Q)Find the value of x
3/5^2x * 9/25^3 = 3/5^-2​

Answer 1

Step-by-step explanation:

3/5^2x × 9/25^3=3/5^-2

3/5^2x × {(3/5)^2}^3= 3/5^-2

3/5^2x × 3/5^6 = 3/5^-2

3/5^2x+6=3/5^-2

When bases are equal then powers are also equal

So, 2x+6= -2

2x= -2-6

2x= -8

x= -8/2

x= -4