Equations with Rational Exponents
This video presents the same text shown beside it, spoken and on screen. It adds nothing the text does not say.
State
A rational-exponent equation is solved by raising both sides to the exponent's reciprocal, returning the variable to the first power.
Show
x^(3/2) = 8: raise both sides to 2/3, so x = 8^(2/3) = 4 — and the check runs 4^(3/2) = 8.
Watch for
Even denominators bring Video 217's audit along.
Builds on
- Nothing — this is a starting point.
Unlocks
- Nothing yet depends on this.