Question

Simplify :
(1/4)⁻² – 3(8)²/³(4)⁰ + (9/16)⁻¹/²

Answer 1

Answer:

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Answer 2

(1/4)⁻² – 3(8)²/³(4)⁰ + (9/16)⁻¹/²  = 16/3

Explanation:

(1/4)⁻² – 3(8)²/³(4)⁰ + (9/16)⁻¹/²

(1/ 4)⁻² = (1 / 4²)⁻¹ = (1/ 16)⁻¹ = 16

(8)²/³ = (2^3)²/³ = 2² = 4

(4)⁰ = 1

(9/ 16)⁻¹/² = (3²/ 4²)⁻¹/² = (3/ 4)⁻¹ = 4/ 3

(1/4)⁻² – 3(8)²/³(4)⁰ + (9/16)⁻¹/² = 16 - (3 * 4 * 1) + (4 / 3)

= 16 - 12 + 4/ 3

= 4 + 4/ 3  

= 16 / 3