Question

(4/25)^1/2 and (4/25)^-1/2

Answer 1

(4/25)^1/2 = 2/5

(4/25)^-1/2 = 5/2

Explanation:

(4/25)^1/2 and (4/25)^-1/2

recall that a^1/x = x√a and a ^-1/x = 1/ x√a

Hence (4/25)^1/2

Applying the laws of indices stated above

(4/25)^1/2 = √(4/25)

Recall that √a/b = √a/√b

Hence √4/25 = √4/√25

= 2/5

(4/25)^-1/2

Applying the laws of indices stated above

(4/25)^-1/2 = 1/√(4/25)

= √(25/4)

= √25/√4

= 5/2