Exponents, Polynomials, and Polynomial Functions

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Presentation transcript:

Exponents, Polynomials, and Polynomial Functions Chapter 6 Exponents, Polynomials, and Polynomial Functions

Integer Exponents and Scientific Notation 6.1 Integer Exponents and Scientific Notation

6.1 Integer Exponents and Scientific Notation Objectives Use the product rule for exponents. Define 0 and negative exponents. Use the quotient rule for exponents. Use the power rule for exponents. Simplify exponential expressions. Use the rules for exponents with scientific notation. Copyright © 2010 Pearson Education, Inc. All rights reserved.

6.1 Integer Exponents and Scientific Notation Use the product rule for exponents. The products of exponential expressions with the same base are found by adding exponents. Copyright © 2010 Pearson Education, Inc. All rights reserved.

6.1 Integer Exponents and Scientific Notation Use the product rule for exponents. Copyright © 2010 Pearson Education, Inc. All rights reserved.

6.1 Integer Exponents and Scientific Notation Define 0 and negative exponents. Copyright © 2010 Pearson Education, Inc. All rights reserved.

6.1 Integer Exponents and Scientific Notation Negative Exponents Copyright © 2010 Pearson Education, Inc. All rights reserved.

6.1 Integer Exponents and Scientific Notation Special Rules for Negative Exponents Copyright © 2010 Pearson Education, Inc. All rights reserved.

6.1 Integer Exponents and Scientific Notation Use the quotient rule for exponents. Copyright © 2010 Pearson Education, Inc. All rights reserved.

6.1 Integer Exponents and Scientific Notation Use the power rule for exponents. Copyright © 2010 Pearson Education, Inc. All rights reserved.

6.1 Integer Exponents and Scientific Notation Use the power rule for exponents. Copyright © 2010 Pearson Education, Inc. All rights reserved.

6.1 Integer Exponents and Scientific Notation More Special Rules for Negative Exponents Copyright © 2010 Pearson Education, Inc. All rights reserved.

6.1 Integer Exponents and Scientific Notation Rules for Exponents Summarized Copyright © 2010 Pearson Education, Inc. All rights reserved.

6.1 Integer Exponents and Scientific Notation Using the Definitions and Rules for Exponents Note: There is often more than one way to simplify expressions as illustrated in the following expressions. Copyright © 2010 Pearson Education, Inc. All rights reserved.

6.1 Integer Exponents and Scientific Notation Scientists often deal with extremely large and extremely small numbers. For example: The distance from the sun to the Earth is approximately 150,000,000 kilometers. The wavelength of x-rays is 0.000000000023 meter. X-ray Copyright © 2010 Pearson Education, Inc. All rights reserved.

6.1 Integer Exponents and Scientific Notation It is often simpler to write these very large or very small numbers using scientific notation. Copyright © 2010 Pearson Education, Inc. All rights reserved.

6.1 Integer Exponents and Scientific Notation Converting to Scientific Notation To write numbers in scientific notation, we use the following steps. If the number is negative, use the steps above and then label your results as a negative number. Copyright © 2010 Pearson Education, Inc. All rights reserved.

6.1 Integer Exponents and Scientific Notation Converting to Scientific Notation Copyright © 2010 Pearson Education, Inc. All rights reserved.

6.1 Integer Exponents and Scientific Notation Converting to Scientific Notation Copyright © 2010 Pearson Education, Inc. All rights reserved.

6.1 Integer Exponents and Scientific Notation Converting from Scientific Notation to Standard Notation Copyright © 2010 Pearson Education, Inc. All rights reserved.

6.1 Integer Exponents and Scientific Notation Using Scientific Notation in Computation Copyright © 2010 Pearson Education, Inc. All rights reserved.