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11.1 Rational Exponents

11.1 Rational Exponents. Vocabulary. An exponent is the power that a base is being raised to… You should know this already. Keep in mind that an exponent counts the number of copies of the base that are being multiplied together.

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11.1 Rational Exponents

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  1. 11.1Rational Exponents

  2. Vocabulary • An exponent is the power that a base is being raised to… • You should know this already. • Keep in mind that an exponent counts the number of copies of the base that are being multiplied together. • When working with exponents, it is often times easier to rewrite a given statement/function using the laws/properties/rules of exponents.

  3. Product Rule • When multiplying like bases, we can add the exponents: • Why?

  4. Quotient Rule • When dividing like bases, subtract the powers. • Why?

  5. Power to a Power Rule • When raising a power to a power, multiply the powers. • Why?

  6. Product & Quotient Rules (2) • When raising a product or a quotient to a power you can distribute the power. • *NOTE: This cannot EVER be done when there is addition or subtraction involved.

  7. Nth root • These next two rules are by far the rules that you will use the most in calculus. • Knowing these rules and recognizing that they can be used, will save you a MAJOR headache.

  8. Negative Powers

  9. Example 1 • Express using rational exponents:

  10. Example 2 • Express the following using radicals:

  11. Example 3 • Simplify:

  12. Example 4 • Simplify:

  13. Example 5 • Write without using fractions:

  14. Homework • Pg. 602 # 14-52 [3 each Section]

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