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College Algebra / Unit 1   Alg 031 short lesson, about 20 seconds

The Negative Rule of Exponents

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The idea

The negative rule of exponents states that a negative exponent means a reciprocal: a⁻ⁿ = 1/aⁿ for nonzero a.

In practice

3⁻² equals 1/3², which is 1/9 — a small positive number, not a negative one.

Where people slip

The sign moves the power across the fraction bar; it never changes the value's sign.

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