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Exponentiation
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====Powers of negative one==== Since a negative number times another negative is positive, we have:<blockquote><math>(-1)^n = \left\{\begin{array}{rl} 1 & \text{for even } n, \\ -1 & \text{for odd } n. \\ \end{array}\right.</math></blockquote>Because of this, powers of {{math|β1}} are useful for expressing alternating [[sequence]]s. For a similar discussion of powers of the complex number {{math|''i''}}, see ''{{slink||nth roots of a complex number}}''.
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