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Integrated Math II
21. CC.HSN.RN.A.1
21.4 Exponents: Power rule: (a^x)^y = a^(xy)
Exponents: Power rule: (a^x)^y = a^(xy)
What You'll Learn
Apply the power rule to multiply exponents when raising a power to another power
Recognize that (a^x)^y equals a^(x*y) by expanding and counting base factors
Simplify expressions with multiple bases and exponents using the power rule
Distribute outer exponents to all components in fractions and products
What You'll Practice
1
Proving the power rule by expanding expressions and counting factors
2
Applying the power rule to expressions with multiple variables and exponents
3
Simplifying complex fractions with exponents raised to powers
4
Working with negative and positive exponents in power rule problems
Why This Matters
The power rule is essential for simplifying complex expressions throughout algebra, calculus, and beyond. You'll use this property constantly when working with polynomials, exponential functions, scientific notation, and advanced math courses.
Before You Start — Make Sure You Can:
This Unit Includes
3 Video lessons
Practice exercises
Learning resources
Skills
Power Rule
Exponent Laws
Simplification
Algebra
Exponential Expressions
Multiplication of Exponents
OH Curriculum Aligned