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Simplifying Rational Exponents in Mathematics

Understand rational exponents and simplify expressions with examples. Discover Kepler's third law and calculate orbital periods with given functions. Find lengths of Venusian years and express in simplest form.

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Simplifying Rational Exponents in Mathematics

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Presentation Transcript

  1. Warm-Up

  2. 6-4 Rational Exponents

  3. What is the simplified form of the expression ?

  4. Examples:

  5. What are the expressions and in radical form?

  6. Kepler’s third law of orbital motion states that you can approximate the period P (in Earth years) it takes a planet to complete one orbit of the sun using the function , where d is the distance (in astronomical units, AU) from the planet to the sun. Find the approximate length (in Earth years) of a Venusian year if Venus is 0.72 AU from the sun.

  7. What is in simplest form?

  8. What is in simplest form?

  9. 6-4 Check Points

  10. 6-4 Check Points

  11. Assignment 6-4 WB p167-168, 1-61 EOO

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