volume_mute

Nested Grouping Symbols – Brackets and Parentheses

publish date2026/05/07 22:17:46.960109 UTC

volume_mute

Evaluate: \(67 - 5[-1 + (2 - 8)^2]\)

Correct Answer

\(-108\)

Explanation

  1. Innermost parentheses: \(2 - 8 = -6\)
  2. Exponent inside brackets: \((-6)^2 = 36\)
  3. Add inside brackets: \(-1 + 36 = 35\)
  4. Multiply: \(5(35) = 175\)
  5. Subtract: \(67 - 175 = -108\)

Reference

Mathematics for college students


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