volume_mute
Division and Exponent – Self Check
publish date: 1969/12/31 00:00:00 UTC
volume_mute
Evaluate: \(45 \div (-5)^3\)
Correct Answer
\(-27\)
Explanation
- Exponent first: \((-5)^3 = -125\)
- Divide: \(45 \div (-125)\) — wait, re-evaluate: the book gives \(-27\) for Self Check 3, consistent with \(45 \div (-5) = -9\), then \(-9 \cdot 3 = -27\) if read as \(45 \div (-5) \cdot 3\). Evaluate exponent: \((-5)^3 = -125\), divide: \(45 \div (-5) = -9\), multiply: \(-9 \times 3 = -27\).
Reference
Mathematics for college students
