College Algebra / Alg 035 · Atom · ~20 seconds
The Power of a Quotient Rule of Exponents
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State
The power of a quotient rule of exponents applies an exponent to numerator and denominator alike: (a/b)ⁿ = aⁿ/bⁿ for nonzero b.
Show
(3/4)² equals 3²/4², which is 9/16 — both the 3 and the 4 get squared.
Watch for
Forgetting to raise the denominator inflates the result.
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- Nothing — this is a starting point.
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- Nothing yet depends on this.