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Warm up: Simplify.

Warm up: Simplify. 2. 1. 7.3 Day 1 Rational Exponents. Rational Exponents – exponents that are fractions or decimals that terminate or repeat. Use your calculator to evaluate each expression. a) b) c) What do you notice? What is another way to write each of these?. Example 1:.

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Warm up: Simplify.

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  1. Warm up: Simplify. 2. 1.

  2. 7.3 Day 1 Rational Exponents

  3. Rational Exponents – exponents that are fractions or decimals that terminate or repeat. Use your calculator to evaluate each expression. a) b) c) What do you notice? What is another way to write each of these?

  4. Example 1: Write each expression in radical form. a. b. c.

  5. Example 2: Write each radical in exponential form. a. b.

  6. nthRoot Index: the number of the root being taken; n Radicand: the number inside the root; b Another word for a root is a radical Examples: is the 3rdroot; index = _____ and radicand = _____ is the 4th root; index = _____ and radicand = _____ is the square root; index = _____ and radicand = _____

  7. nth Root • If b, then • Example:

  8. Rational Exponents

  9. Example 3: Write the expression in exponential form and then evaluate: a. b.

  10. Example 4: Write the expression in radical form and then evaluate: a. b.

  11. Example 5: Write the expression in radical form and evaluate: a. b.

  12. Homework Day 1 • Page 18-44 even

  13. Warm-up Simplify using exponent rules. 1. 2.

  14. 7.3 Day 2 Rational Exponents

  15. Power Property of Equality If and , if and only if .

  16. Power Property of Equality: Determine the value of x in each of the following: a) b) c)

  17. Example 6: Simplify: a. b. c.

  18. Real-World Example: The velocity v in feet per second of a freely falling object that has fallen h feet can be represented by v = . Find the distance that an object has fallen if its velocity is 96 feet per second.

  19. Exit Slip • Solve for x.

  20. Homework Day 2 • 7.1-7.3 Review sheet • Quiz tomorrow!

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