Question

Divide (125)^-2/3by(32)^-2/5

Answer 1

125 = 5^3

32 = 2^5

so, 125^-2/3 = 5^[3*(-2/3)]

= 5^-2

and, 32^-2/5 = 2^5*(-2/5)

= 2^-2

on dividing both = (1/5^2)/(1/2^2)

= (1/25)/(1/4)

= 4/25