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6.6 Merging Exponents and Roots BobsMathClass.Com Copyright © 2010 All Rights Reserved. 1 Before we get started with definitions and procedures, lets take some time and get acquainted with our scientific calculator. Calculate the following using your calculator. (I’m sure you brought it with you for your math class. Good student are always prepared.) First type in the base, then the exponent key, then the exponent. Examples: (Any decent calculator will convert a decimal to a fraction.) Definition: We will usually use the 2 nd form, keep the m on the outside of the parentheses. (Try and remember, the denominator is always the index number.)

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6.6 Merging Exponents and Roots BobsMathClass.Com Copyright © 2010 All Rights Reserved. 2 Example 1. Evaluate the following numerical expressions. Answers: Evaluate the following numerical expressions. Your Turn Problem #1

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6.6 Merging Exponents and Roots BobsMathClass.Com Copyright © 2010 All Rights Reserved. 3 Example 2. Evaluate the following numerical expressions. Answers: Evaluate the following numerical expressions. Your Turn Problem #2 Answers:

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6.6 Merging Exponents and Roots BobsMathClass.Com Copyright © 2010 All Rights Reserved. 4 Example 3. Evaluate the following numerical expressions. Answers: Your Turn Problem #3 Evaluate the following numerical expressions.

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6.6 Merging Exponents and Roots BobsMathClass.Com Copyright © 2010 All Rights Reserved. 5 Writing Variable Expressions in Radical Form Example 4. Write the following in radical form. Answers: Write the following in radical form. Your Turn Problem #4

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6.6 Merging Exponents and Roots BobsMathClass.Com Copyright © 2010 All Rights Reserved. 6 Now, we will practice converting radical expressions into exponential expressions. Answers Answers: Your Turn Problem #5

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6.6 Merging Exponents and Roots BobsMathClass.Com Copyright © 2010 All Rights Reserved. 7 Simplifying expressions containing rational exponents. Recall our properties of exponents. Example 6. Simplify the following. Leave answers with positive rational exponents. Answers: Simplify the following. Leave answers with positive rational exponents. Your Turn Problem #6

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6.6 Merging Exponents and Roots BobsMathClass.Com Copyright © 2010 All Rights Reserved. 8 Example 7. Simplify the following. Leave answers with positive rational exponents. Answers: Simplify the following. Leave answers with positive rational exponents. Your Turn Problem #7 The End B.R. 10-21-06

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