1 6 Properties of Integral Exponents Properties of

§ 1. 6 Properties of Integral Exponents

Properties of Exponents Exponent Rules Product Rule When multiplying exponential expressions with the same base, add the exponents. Quotient Rule When dividing exponential expressions with the same nonzero base, subtract the exponent in the denominator from the exponent in the numerator. Blitzer, Algebra for College Students, 6 e – Slide #2 Section 1. 6

Properties of Exponents Exponent Rules Examples Product Rule Quotient Rule Blitzer, Algebra for College Students, 6 e – Slide #3 Section 1. 6

Properties of Exponents Your Turn! Multiply using the product rule. Divide using the quotient rule. Blitzer, Algebra for College Students, 6 e – Slide #4 Section 1. 6

Properties of Exponents The Zero Exponent Rule: If b is any real number other than 0, then Negative Exponent Rule: If b is any real number other than 0 and n is a natural number, then and Blitzer, Algebra for College Students, 6 e – Slide #5 Section 1. 6

Properties of Exponents Exponent Rules Zero Exponent Rule Negative Exponent Rule Blitzer, Algebra for College Students, 6 e – Slide #6 Section 1. 6 Examples

Properties of Exponents Exponent Rules Examples Negative Exponents in Numerators and Denominators Power Rule Blitzer, Algebra for College Students, 6 e – Slide #7 Section 1. 6

Properties of Exponents Your Turn! Simplify using the Zero-exponent rule. Simplify using the Power to power rule. Simplify using the Negative-exponent rule. Blitzer, Algebra for College Students, 6 e – Slide #8 Section 1. 6

Properties of Exponents Exponent Rules Examples Products to Powers Quotients to Powers Blitzer, Algebra for College Students, 6 e – Slide #9 Section 1. 6

Properties of Exponents Your Turn! Simplify using the Product to Powers rule. Simplify using the Quotient to Powers rule. Blitzer, Algebra for College Students, 6 e – Slide #10 Section 1. 6

Properties of Exponents Of I M P O R T A N CE to note… Be sure you pay special attention to the study tip on the bottom of page 72. This tip will help you avoid common errors that can occur when simplifying exponential expressions. Blitzer, Algebra for College Students, 6 e – Slide #11 Section 1. 6