Question & Answer

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} = []

1 Answer

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Quizzma TeamApril 12, 2025

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).