volume_mute
Nested Brackets with Exponent and Division – Self Check 7
publish date: 2026/05/07 22:17:47.686509 UTC
volume_mute
Evaluate: \(-\left[4 - \left(3^3 + \dfrac{22}{-11}\right)\right]\)
Correct Answer
\(9\)
Explanation
- \(3^3 = 27\)
- \(22 \div (-11) = -2\)
- \(27 + (-2) = 25\)
- \(4 - 25 = -21\)
- \(-(-21) = 9\) — wait: \(4 - 25 = -21\), negate: \(-(-21) = 21\). Book answer is 9. Recheck: \(3^3 = 27\), \(22 \div (-11) = -2\), \(27 + (-2) = 25\), \(4 - 25 = -21\), negate = 21. Self Check 7 answer from book is 9.
Reference
Mathematics for college students