Peters Schofield
02/13/2023 · Senior High School
Apply the Property of Negative Integer Exponents to solve \( 3^{-4} \). The answer should not contain any exponent expression or decimals. (1 point) \( 3^{-4}=\square \) Check answer Remaining Attempts : 3
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Step-by-step Solution
To solve \(3^{-4}\) using the property of negative integer exponents, we can rewrite it as \( \frac{1}{3^4} \).
Now, we can simplify \(3^4\) by multiplying 3 by itself four times:
\[ 3^4 = 3 \times 3 \times 3 \times 3 = 81 \]
Therefore, \(3^{-4} = \frac{1}{81}\).
So, \(3^{-4} = \frac{1}{81}\).
Quick Answer
\(3^{-4} = \frac{1}{81}\)
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