Question

Find the value of (256/625)^−1/4

Answer 1

Answer:

256 = 16^2 = 4^4

625 = 25^2 = 5^4

so

(256/625) = 4^4 / 5^4 = (4/5)^4

now

(256/625)^-1/4

= (4/5)^(4*-1/4)

= (4/5)^-1

= 5/4