ACT Preparation / Unit 7 ACT 0605 short lesson, about 20 seconds
Product, Quotient and Power Rules
Captions available
The idea
For the same base, multiplying adds exponents, dividing subtracts them, and raising a power to a power multiplies them.
In practice
x³ · x⁴ = x⁷; x⁹ ÷ x² = x⁷; (x³)⁴ = x¹².
Where people slip
The rules need the same base, so 2³ · 3² is not one power. A power of a product applies to each factor: (2x)³ = 8x³.
Your place on the trail
Every lesson rests on earlier ones and opens later ones. Tap any to jump.
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