College Algebra / Unit 1 Alg 025 short lesson, about 20 seconds
The Power Rule of Exponents
Captions available
The idea
The power rule of exponents states that raising a power to a power multiplies the exponents: (aᵐ)ⁿ = aᵐⁿ.
In practice
(3²)³ means 3² taken three times — six factors of 3 in all — so it equals 3⁶ = 729.
Where people slip
A power of a power multiplies; a product of powers adds.
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