College Algebra / Alg 224 · Atom · ~20 seconds
Equations with Rational Exponents
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A rational-exponent equation is solved by raising both sides to the exponent's reciprocal, returning the variable to the first power.
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x^(3/2) = 8: raise both sides to 2/3, so x = 8^(2/3) = 4 — and the check runs 4^(3/2) = 8.
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Even denominators bring Video 217's audit along.
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