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