Find the value of the following expression:

(2^8 ⋅ 3^−5 ⋅ 6^0)^−2 ⋅ (3^-2/2^3)^4 ⋅ 228 (5 points)

Write your answer in simplified form. Show all of your steps. (5 points)


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Answer:

9

Step-by-step explanation:

  • (2^8× 3^−5 ×6^0)^−2× (3^-2/2^3)^4× 2^28=
  • 2^-16×3^10×1×3^-8×2^-12×2^28 =
  • 2^(-16 -12+28)×3^(10-8) =
  • 2^0×3^2 =
  • 1×9 = 9
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