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College Algebra / Unit 1   Alg 035 short lesson, about 20 seconds

The Power of a Quotient Rule of Exponents

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The idea

The power of a quotient rule of exponents applies an exponent to numerator and denominator alike: (a/b)ⁿ = aⁿ/bⁿ for nonzero b.

In practice

(3/4)² equals 3²/4², which is 9/16 — both the 3 and the 4 get squared.

Where people slip

Forgetting to raise the denominator inflates the result.

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