Question
\( 4 \times \) Which exponential expression is equal to \( 3^{-4} \cdot 3^{5} ? \)
Ask by Best Carlson. in the United States
Mar 18,2025
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Answer
The expression \(3^{-4} \cdot 3^{5}\) simplifies to \(3^{1}\) or just \(3\).
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To simplify \( 3^{-4} \cdot 3^{5} \), we can use the property of exponents that states \( a^m \cdot a^n = a^{m+n} \). So, we can combine the exponents: \[ 3^{-4} \cdot 3^{5} = 3^{-4 + 5} = 3^{1} \] Thus, the exponential expression that is equal to \( 3^{-4} \cdot 3^{5} \) is \( 3^{1} \) or simply \( 3 \).