Evaluate. Write your answer as a fraction or whole number without exponents.
3^-4 =
Evaluate. Write your answer as a fraction or whole number without exponents. 3^-4 =
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To evaluate ( 3^{-4} ), you can use the property of negative exponents, which states that ( a^{-b} = frac{1}{a^b} ).
Applying this property:
[
3^{-4} = frac{1}{3^4}
]
Next, calculate ( 3^4 ):
[
3^4 = 3 times 3 times 3 times 3 = 81
]
Now, substitute back:
[
3^{-4} = frac{1}{81}
]
So, the answer is ( frac{1}{81} ).