copyright © 2010 pearson education, inc. all rights reserved sec 6.1 - 1


Exponents, Polynomials, and

Polynomial Functions

Chapter 6


6.1

Integer Exponents and

Scientific Notation

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 6.1 - 4

6.1 Integer Exponents and Scientific Notation

Objectives

1. Use the product rule for exponents.

2. Define 0 and negative exponents.

3. Use the quotient rule for exponents.

4. Use the power rule for exponents.

5. Simplify exponential expressions.

6. Use the rules for exponents with scientific notation.



Use the product rule for exponents.

The products of exponential expressions with the same base are found by adding exponents.



Use the product rule for exponents.



Define 0 and negative exponents.



Negative Exponents



Special Rules for Negative Exponents



Use the quotient rule for exponents.



Use the power rule for exponents.



More Special Rules for Negative Exponents



Rules for Exponents Summarized



Using the Definitions and Rules for Exponents

Note: There is often more than one way to simplify expressions as illustrated in the following expressions.



Scientific Notation

Scientists often deal with extremely large and extremely small numbers. For example:

X-ray

The distance from the sun to the Earth is approximately 150,000,000 kilometers.

The wavelength of x-rays is 0.000000000023 meter.



Scientific Notation

It is often simpler to write these very large or very small numbers using 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.



Converting from Scientific Notation to Standard Notation



Using Scientific Notation in Computation

copyright © 2010 pearson education, inc. all rights reserved sec 6.1 - 1

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