Question

(4/25) to the power of negative 1/2

Answer 1

5/2

Explanation:

`{( (4)/(25) )}^{ - (1)/(2) }`

Apply indices rule and Simplify

`\frac{1}{ {( (4)/(25) )}^{ (1)/(2) } } = \frac{1}{ \sqrt{ (4)/(25) } } = (1)/( (2)/(5) ) \\ = (1)/(1) / (2)/(5)`

`= (1 * 5)/(1 * 2) \\ = (5)/(2) \\ = 2 (1)/(2)`