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Evaluate Negative One Raised to an Odd Power

publish date2026/05/04 20:29:46.702199 UTC

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Evaluate: \((-1)^5\)

Correct Answer

-1

Explanation

\((-1)^5 = (-1)(-1)(-1)(-1)(-1)\). Pair up the factors: \((-1)(-1) = 1\) and \((-1)(-1) = 1\), leaving one \((-1)\). So \(1 \cdot 1 \cdot (-1) = -1\). Since the exponent is odd, the result is negative.

Reference

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