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Warm Up multiplication exponents base multiply power power multiply
On Friday we learned the rules for the __________ Properties of ___________. The common _____ rule states you must ________ the exponents of common bases. The _______ to ______ rule states you must ___________ the __________ of a _________ to a ___________. exponents base multiply power power multiply exponents power power
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8.2 Zero & Negative Exponents
Objective: Evaluate exponents with powers of zero and negatives. Standard: (2.0) Understand & use the rules of exponents.
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Zero Exponent Anything raised to the zero power is equal to 1.
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Negative Exponents Any negative exponent means you flip the base in
the fraction.
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Simplify.
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Examples
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Try It Out!
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Division Properties of Exponents
8.2 Division Properties of Exponents Goal: Use division properties of exponents Standard: (2.0) Understand and use the rules of exponents.
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Review of Exponent Properties
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Division Property of Exponents
To divide powers that have the same base, subtract the exponents.
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Use the Quotient of Powers Property
EXAMPLE 1 Use the Quotient of Powers Property Evaluate the expression.
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Checkpoint Using the Quotient of Powers Property
Simplify the quotient
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Use the Power of a Quotient Property
EXAMPLE 2 Use the Power of a Quotient Property Simplify the quotient
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Checkpoint Use the Power of a Quotient Property
Simplify the quotient
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Simplify Expressions using Multiple Properties
EXAMPLE 3 Simplify the expression. Use only positive exponents
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Simplify Expressions using Multiple Properties
EXAMPLE 3 Simplify the expression. Use only positive exponents
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Simplify the expression. Use only positive exponents.
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Simplify the expression. Use only positive exponents.
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Simplify the expression. Use only positive exponents.
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Simplify the expression. Use only positive exponents.
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Homework Page #1-6, 10-12, 14-16 23-26, 37-39
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