Evaluate. Write your answer as a fraction or whole number without exponents.
4^−2 =
Evaluate. Write your answer as a fraction or whole number without exponents. 4^−2 =
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To evaluate ( 4^{-2} ), we first need to understand what a negative exponent means. A negative exponent indicates that we take the reciprocal of the base raised to the positive value of the exponent.
So,
[
4^{-2} = frac{1}{4^2}
]
Now, we calculate ( 4^2 ):
[
4^2 = 16
]
Putting it together, we have:
[
4^{-2} = frac{1}{16}
]
Thus, the answer is:
[
frac{1}{16}
]
If you need any further assistance or more clarification, feel free to ask!
To evaluate (4^{-2}), we use the property of exponents that states (a^{-n} = frac{1}{a^n}).
1. First, rewrite (4^{-2}) as (frac{1}{4^2}).
2. Now calculate (4^2), which is (16).
3. Therefore, (4^{-2} = frac{1}{16}).
So, the answer is (frac{1}{16}). If you have more questions or need further help, feel free to ask!