Question
Simplify. Express your answer using positive exponents \( \frac{\left(8 f^{-1}\right)(6 f)}{6 f^{0}} \)
Ask by Valdez Simmons. in the United States
Mar 08,2025
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Tutor-Verified Answer
Answer
The simplified expression is \(8\).
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Beyond the Answer
To simplify the expression \( \frac{\left(8 f^{-1}\right)(6 f)}{6 f^{0}} \), we start by simplifying the numerator and the denominator separately. The numerator \( (8 f^{-1})(6 f) \) equals \( 48 f^{0} \) because \( f^{-1} \cdot f = f^{0} \). Next, the denominator is \( 6 f^{0} \). Now, our expression becomes: \[ \frac{48 f^{0}}{6 f^{0}} \] Since \( f^{0} = 1 \), it simplifies to: \[ \frac{48}{6} = 8 \] Thus, the final answer is \( 8 \).