Question

Find the value of (64/25)^-1/2 Give your answer as fraction in its simplest form.​

Answer 1

`(5)/(8)`

Explanation:

`((64)/(25))^{-(1)/(2) }` has a negative, fractional indice; this negative sign in this context means to make the base fraction a reciprocal (flip it!):

`((25)/(64))^{(1)/(2)}` The denominator is the value by which we should root, then the numerator is the power the fraction should be raised to: [root and then raise]

`((√(25))^(1) )/((√(64))^(1) )` This fraction then becomes:

`(5)/(8)`