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Mastering Integer Exponents: Definitions and Properties

Learn the fundamentals of integer exponents, including base and exponent definitions, properties, and examples. Practice solving exponent equations and understand the rules for negative powers, products, powers of powers, and more.

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Mastering Integer Exponents: Definitions and Properties

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  1. Exponents Section R.2 R.2 - Integer Exponents

  2. Definitions • Base:The term/variable of which is being raised upon • Exponent:The term/variable is raised by a term. AKA Power EXPONENT BASE R.2 - Integer Exponents

  3. Definitions R.2 - Integer Exponents

  4. Definitions 10/21/2019 10:39 PM 7.1 Properties of Exponents R.2 - Integer Exponents 4

  5. Example 1 R.2 - Integer Exponents

  6. Example 2 10/21/2019 10:39 PM 7.1 Properties of Exponents R.2 - Integer Exponents 6

  7. Example 3 10/21/2019 10:39 PM 7.1 Properties of Exponents R.2 - Integer Exponents 7

  8. Example 4 10/21/2019 10:39 PM 7.1 Properties of Exponents R.2 - Integer Exponents 8

  9. Example 5 10/21/2019 10:39 PM 7.1 Properties of Exponents R.2 - Integer Exponents 9

  10. Warm-Up Solve: R.2 - Integer Exponents

  11. Properties of Exponents • Negative Power Property: • Product of a Power: • Power of a Power: • Power of a Product: • Quotient Power Property: R.2 - Integer Exponents

  12. Negative Power Property • Saying goes:NO NEGATIVE POWERS What are the base(s) and the power(s)? R.2 - Integer Exponents

  13. Negative Power Property R.2 - Integer Exponents

  14. Negative Power Property R.2 - Integer Exponents

  15. Product of a Power • Saying goes:BASE, BASE, ADD If the BASES are same, ADD the powers What are the base(s) and the power(s)? R.2 - Integer Exponents

  16. Product of a Power R.2 - Integer Exponents

  17. Product of a Power R.2 - Integer Exponents

  18. Your Turn R.2 - Integer Exponents

  19. Power of a Power • Saying goes:POWER, POWER, MULTIPLY If the POWERS are near each other, MULTIPLY the powers – usually deals with PARENTHESES What are the base(s) and the power(s)? R.2 - Integer Exponents

  20. Power of a Power R.2 - Integer Exponents

  21. Power of a Power R.2 - Integer Exponents

  22. Your Turn R.2 - Integer Exponents

  23. Power of a Product • Saying goes:DISTRIBUTE THE POWER TO THE BASES What are the base(s) and the power(s)? R.2 - Integer Exponents

  24. Power of a Product How many bases does this problem have? R.2 - Integer Exponents

  25. Power of a Product R.2 - Integer Exponents

  26. Your Turn R.2 - Integer Exponents

  27. Quotient Power Property • Saying goes: When dividing an expression with a power, SUBTRACT the powers. They must have the same base in order to subtract. What are the base(s) and the power(s)? R.2 - Integer Exponents

  28. Quotient Power Property R.2 - Integer Exponents

  29. Quotient Power Property R.2 - Integer Exponents

  30. Your Turn = R.2 - Integer Exponents

  31. Assignment Pg 27 73-93 odd R.2 - Integer Exponents

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