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Evaluate. Write your answer as a fraction or whole number without exponents. (1/4)^{-1} =

Evaluate. Write your answer as a fraction or whole number without exponents.
(1/4)^{-1} = []




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What is the capital of Egypt? ( Cairo )

1 Answer

  1. To evaluate ((frac{1}{4})^{-1}), we can apply the property of exponents that states (a^{-n} = frac{1}{a^n}). This means:

    [

    (frac{1}{4})^{-1} = frac{1}{(frac{1}{4})^{1}} = frac{1}{frac{1}{4}}.

    ]

    When you divide by a fraction, it is equivalent to multiplying by its reciprocal:

    [

    frac{1}{frac{1}{4}} = 1 times frac{4}{1} = 4.
    ]

    Therefore, the answer is:

    [
    4.
    ]

    So, ((frac{1}{4})^{-1} = 4).

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