Question

evaluate (1024/3125) power -3/5​

Answer 1

Answer:

125 / 64

Step-by-step explanation:

(1024 / 3125) ^ -3/5

=( 2^10 / 5^5 ) ^ -3/5 .... [ 1024 = 2^10, 3125 = 5^5 ]

=(2^10 x -3/5 / 5^5 x -3/5) .... [ (a^m)^n = a^m x n ]

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

=(5^3 / 2^6) ..... [ (a)^ -m = 1/ a^m ]

=125 / 64

Hence evaluated.