1. Grade Distribution A B C D F No Show 100+ Range Avg 12/3/2018 5:23 AM
8.1 - Exponents

2. 12/3/2018 5:23 AM
8.1 - Exponents

3. Properties of Exponents
Section 8.1
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8.1 - Exponents

4. Definitions EXPONENT BASE
Base: The term/variable of which is being raised upon
Exponent: The term/variable is raised by a term. AKA Power
EXPONENT
BASE
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8.1 - Exponents

5. Definitions
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8.1 - Exponents

6. Properties of Exponents
Product of a Power:
Power of a Power:
Power of a Product:
Zero Power Property:
Identity Property:
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8.1 - Exponents

7. If the BASES are the same, ADD the powers
Product of a Power
Saying goes: BASE, BASE, ADD
If the BASES are the same, ADD the powers
What is/are the base(s) and power(s)?
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8.1 - Exponents

8. Example 1
Solve 24 • 25
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8.1 - Exponents

9. Example 2
Solve 9 • 98 • 92
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8.1 - Exponents

10. Example 3
Solve (–5)(–5)6
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8.1 - Exponents

11. Your Turn
Simplify x • x6 • x2
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8.1 - Exponents

12. 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)?
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8.1 - Exponents

13. Example 4 Solve (23)4 Power, Multiply 12/3/2018 5:23 AM
8.1 - Exponents

14. Example 5
Simplify (x2)3
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8.1 - Exponents

15. Your Turn
Solve [(–2)5]3
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8.1 - Exponents

16. Power of a Product DISTRIBUTE THE POWER TO THE BASES
What is/are the base(s) and the power(s)?
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8.1 - Exponents

17. How many bases does this problem have?
Example 6
Simplify (3x)4
How many bases does this problem have?
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8.1 - Exponents

18. Example 7
Simplify (3x2)4
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8.1 - Exponents

19. Example 8
Simplify (–4x)2
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8.1 - Exponents

20. Your Turn
Simplify –(4x3)2
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8.1 - Exponents

21. How many bases does this problem have?
Example 9
Simplify (3x3)2 • x4
How many bases does this problem have?
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8.1 - Exponents

22. Your Turn
Simplify (3x5)3 (2x7)2
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8.1 - Exponents

23. Zero & Identity Power Property
Any base raised to the zero power, besides zero, will always equal to one.
Any bas raised to the first power, besides zero, will always equal to the base.
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8.1 - Exponents

24. Example 10
Simplify 30
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8.1 - Exponents

25. Example 11
Simplify x1
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8.1 - Exponents

26. Your Turn
Solve –30
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8.1 - Exponents

27. Assignment
Worksheet
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8.1 - Exponents