Mathematics

Question

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.

1 Answer

  • Answer:

    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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