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29 January, 00:45

Find the value of the following expression:

(2^8 ⋅ 5^-5 ⋅ 19^0) ^-2 ⋅ 5 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 2^28

Write your answer in simplified form. Show all of your steps.

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Answers (1)
  1. 29 January, 01:11
    0
    25

    Step-by-step explanation:

    Expression: (2⁸ ⋅ 5⁻⁵ ⋅ 19⁰) ⁻² ⋅ (5⁻²/2³) ⁴ ⋅ 2²⁸

    Inner-most powers: 2⁻¹⁶ • 5¹⁰ • 1 • 5⁻⁸/2¹² • 2²⁸

    Combine like terms: 2¹² • 5²/2¹²

    Cancel out: 5²

    Solve: 25
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