College Algebra / Unit 1 Alg 058 short lesson, about 20 seconds
Rational Exponents: the m/n Power
Captions available
The idea
A rational exponent of m/n means the nth root raised to the mth power: a^(m/n) = (ⁿ√a)ᵐ.
In practice
16^(3/4) takes ⁴√16 = 2, then cubes it: 2³ = 8. Root first keeps the numbers small.
Where people slip
The denominator is the root; the numerator is the power.
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.
Something wrong in this lesson? Flag it · Sources for College Algebra