Copyright © 2011 Pearson Education, Inc. Integral Exponents and Scientific Notation Section P.2 Prerequisites

P.2 Copyright © 2011 Pearson Education, Inc. Slide P-3 Definition: Negative Integral Exponents If a is a nonzero real number and n is a positive integer, then Rules of Negative Exponents and Fractions If a and b are nonzero real numbers and m and n are integers, then Negative Integral Exponents

P.2 Copyright © 2011 Pearson Education, Inc. Slide P-4 If m and n are any positive integers, we have This equation indicates that the product of exponential expressions with the same base is obtained by adding the exponents. This fact is called the product rule.. factors nm nm nm nm aaaaaaaaa      Rules of Exponents

P.2 Copyright © 2011 Pearson Education, Inc. Slide P-5 Definition: Zero Exponent If a is a nonzero real number, then a 0 = 1. Rules for Integral Exponents If a and b are nonzero real numbers and m and n are integers, then 1.Product rule 2.Quotient rule 3.Power of a power rule 4.Power of a product rule 5.Power of a quotient rule Rules of Exponents

P.2 Copyright © 2011 Pearson Education, Inc. Slide P-6 In scientific notation, a positive number is written as a product of a number between 1 and 10 and a power of 10. To convert from scientific notation to standard notation multiply by the indicated power of 10. Scientific Notation