MathLab with Mr. Ahmed

MathLab with Mr. Ahmed is a math learning website by Ahmed Amasha, a mathematics teacher teaching the American curriculum. Explore Algebra 2, Precalculus, Calculus, and SAT and PSAT Math Prep through lessons, focused practice and printable resources.

MathLabwith Mr. Ahmed

5.2 Properties of rational exponents

Unit 5 · Rational exponents and radical functions

Ideas in this lesson

Product rule

For a positive base, add exponents when multiplying powers with the same base.

Quotient rule

For a positive base, subtract the denominator exponent from the numerator exponent.

Powers of powers

For a positive base, multiply exponents when raising a power to another power.

Zero and negative exponents

A nonzero base raised to zero is one. A negative exponent indicates a reciprocal. State any domain restrictions.

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