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7.5 Division Properties of Exponents

7.5 Division Properties of Exponents. Standard: SWBAT understand and apply the rules for exponents in dividing monomial expressions. Mini Quiz 35. Simplify ((5 y ) 2 ) 0 Which expression is equivalent to x 6 x 2 a) x 4 x 3 b) x 5 x 3 c) x 7 x 3 d) x 9 x 3 Simplify (2 y 2 ) 4.

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7.5 Division Properties of Exponents

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  1. 7.5 Division Properties of Exponents Standard: SWBAT understand and apply the rules for exponents in dividing monomial expressions.

  2. Mini Quiz 35 • Simplify ((5y)2)0 • Which expression is equivalent to x6x2 a) x4x3 b) x5x3 c) x7x3 d) x9x3 • Simplify (2y2)4

  3. Quick Review 1. What does it mean to “simplify” an exponential expression? No Zero Exponents No Negative Exponents Variables appear once No parentheses ( ) 2. What happens when a variable appears on the top and on the bottom? They can cancel (to 1’s)

  4. Overview Division Properties of Exponents - Quotient of Powers Property - Power of a Quotient Property

  5. Division Property of Exponents Simplify the following by expanding. Don’t multiply them, find 1’s. For example, 1. 2. 3. 1 1 • 8 1

  6. Division Property of Exponents Simplify the following by expanding. 4. 5. 6. x Do you see a shortcut? Quotient of Powers Property

  7. Division Property of Exponents Simplify the following by expanding. 7. 8. 9. Do you see a shortcut? Power of a Quotient Property

  8. Division Property of Exponents Simplify the following. 10. 11. 12.

  9. Division Property of Exponents Simplify the following by expanding. 13. 14. 15.

  10. Division Property of Exponents Simplify the following by expanding. 16. 17. 18.

  11. Wrap Up Division Properties of Exponents - Quotient of Powers Property - Power of a Quotient Property P. 354 #1-11 odd, 21-49 EOO, 89-99 odd DLUQ: When you cancel, what does it become?

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