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What is the exponent rule for negative exponents: $x^{-n}$?

Study flashcard from the deck Digital SAT: Comprehensive Practice (Math & Reading-Writing).

Answer

$x^{-n} = \frac{1}{x^n}$ (for $x \neq 0$).

Explanation

A negative exponent indicates the reciprocal of the base raised to the positive power: $\left(\frac{a}{b}\right)^{-n} = \left(\frac{b}{a}\right)^n$.

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