Respuesta :

Answer: C

Step-by-step explanation:

from the expression, (⁵/₈)⁻²

Recall from the laws of indicies,

a⁻¹ = ¹/a , it is called reciprocal law in indicies.

Therefore,

(⁵/₈)⁻² = ¹/(⁵/₈)²

        = ¹(²⁵/₆₄)

Therefore, to resolve this, it will be

      1 ÷ ²⁵/₆₄

        = 1 ˣ ⁶⁴/₂₅

        = ⁶⁴/₂₅

The answer is ⁶⁴/₂₅ which is C in the provided options.