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Division and Exponent – Self Check

publish date1969/12/31 00:00:00 UTC

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Evaluate: \(45 \div (-5)^3\)

Correct Answer

\(-27\)

Explanation

  1. Exponent first: \((-5)^3 = -125\)
  2. 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


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