College Algebra / Unit 4 Alg 224 short lesson, about 20 seconds
Equations with Rational Exponents
Captions available
The idea
A rational-exponent equation is solved by raising both sides to the exponent's reciprocal, returning the variable to the first power.
In practice
x^(3/2) = 8: raise both sides to 2/3, so x = 8^(2/3) = 4 — and the check runs 4^(3/2) = 8.
Where people slip
Even denominators bring Video 217's audit along.
Your place on the trail
Every lesson rests on earlier ones and opens later ones. Tap any to jump.
Builds on
- Nothing. This is a starting point.
Unlocks
- Nothing yet depends on this.
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