volume_mute

Brackets Containing Division and Exponent

publish date: 2026/05/07 22:17:47.415022 UTC

volume_mute

Evaluate: \(-\left[1 - \left(2^4 + \dfrac{66}{-6}\right)\right]\)

Correct Answer

\(4\)

Explanation

  1. Exponent inside inner parentheses: \(2^4 = 16\)
  2. Division inside inner parentheses: \(66 \div (-6) = -11\)
  3. Add inside inner parentheses: \(16 + (-11) = 5\)
  4. Subtract inside brackets: \(1 - 5 = -4\)
  5. Negate: \(-(-4) = 4\)

Reference

Mathematics for college students

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