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College Algebra  /  Alg 057  ·  Atom · ~20 seconds

Rational Exponents: the 1/n Power

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A rational exponent of 1/n means the principal nth root: a^(1/n) = ⁿ√a.

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8^(1/3) is ∛8 = 2, and 16^(1/4) is ⁴√16 = 2. The fraction upstairs is a root in disguise.

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With an even index, the base cannot be negative.

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