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Integer Exponents Day 1

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

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Example 1

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5 Example 2

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6 Example 3

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Solve:

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Laws of Exponents https://www.youtube.com/watch?v=QIZTru xt2rQ

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Any number raised to the first power is … 3 1 = 87 1 = 528921 1 = Rule : Any number raised to the first power is itself. (a 1 = a)

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Any number raised to the power of zero is ONE! 3 0 = 87 0 = 528921 0 = Rule: a 0 = 1

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Negative Power Property Saying goes: NO NEGATIVE POWERS What are the base(s) and the power(s)?

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Negative Power Property

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Practice 1) (-4) 2 2) 7 3 3) -5 4 4) 10 1 5) 9 5 6) (-2) 0 7) (-2) -1 8) 0 -3 9) 3 -4 10) (¼) 0

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Product Rule Saying goes: BASE, BASE, ADD If the BASES are same, ADD the powers What are the base(s) and the power(s)?

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Product of a Power

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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)?

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Quotient Power Property

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=

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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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Power of a Power

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Power of a Product Saying goes: DISTRIBUTE THE POWER TO THE BASES What are the base(s) and the power(s)?

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Power of a Product How many bases does this problem have?

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Properties of Exponents Negative Power Property: Product of a Power: Power of a Power: Quotient Power Property:

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Do Now – December 6 th NO CALCULATOR 1. Solve: 0.2x = 7 - 0.8x 2. 6 -3 3. -4 0 4. (-8) 2 5. -3 4

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