Question

Q1. What is the value of {(4/-3)^-3}^2 ?

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Answer 1

Answer:

     729 / 4096

Step-by-step explanation:

{ (4 / -3)⁻³}²

{a / b}⁻ⁿ = {b / a}ⁿ

{(4 / -3)⁻³}² = {(-3 / 4)³}²

(aⁿ)ˣ = aⁿˣ

{(-3 / 4)³}² = (-3 / 4)⁶

= -3×-3×-3×-3×-3×-3 / 4×4×4×4×4×4

= 9×9×9 / 16×16×16

= 729 / 4096