Answer:
(4/25)^1/2 = 2/5
(4/25)^-1/2 = 5/2
Step-by-step 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
