Chapter 9.1
Exponents: Product rule (a^x)(a^y) = a^(x+y)
What You'll Learn
Apply the product rule to multiply exponential expressions with the same base
Recognize that multiplying powers means adding their exponents
Simplify expressions by combining numerical coefficients and variable terms separately
Verify exponential multiplication by expanding powers into repeated multiplication
What You'll Practice
1
Multiplying simple powers with the same base
2
Simplifying expressions with multiple variables and exponents
3
Combining numerical coefficients with exponential terms
4
Working with implicit exponents (recognizing variables as power of 1)
Why This Matters
The product rule is fundamental for all higher-level algebra, from polynomial operations to solving exponential equations. You'll use this rule constantly in pre-calculus, calculus, chemistry, and physics whenever you work with scientific notation or compound growth.
Before You Start — Make Sure You Can:
This Unit Includes
2 Video lessons
Practice exercises
Skills
Exponent Rules
Product Rule
Powers
Algebra
Simplification
Variables
