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Published byMargaret Boyd Modified over 8 years ago

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Warm Up I can simplify expressions with exponents. 1. What is the value of 3x 3 +2 when x=10? 2. You put $500 in an account that doubles every year. What is the equation for this situation? How much money would you have after 4 years?

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What an Exponent Represents An exponent tells how many times a number is multiplied by itself. 3 4 = 3 3 3 3 = 81

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How do you say this? three to the third power or three cubed 3 3 Base Exponent

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three to the 2 nd power Or three squared 3 2 Base Exponent How do you say this?

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2. 8 8 8 8 = Practice: Write in many different ways 1. 9 9 = 3. x x x x x =

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Exponent Rules

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Part 1 Product Rule: Multiply same base, add the exponents Example:

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Part 2 Quotient Rule: Divide same base, subtract the exponents Example:

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Part 3 Power Rule: Same base, multiply the exponents Example:

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Part 4 Expanded Power Rule: Apply outside exponent to all parts inside parenthesis Example:

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Part 5 Expanded Power Rule (cont): Example: Apply outside exponent to all parts inside parenthesis

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Part 6 Zero Exponent Rule: Any base raised to 0 equals 1. Example:

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NOTES

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Negative Exponents Negative exponents tell you how many times you should divide by a number Negative exponents move the base to bottom of a fraction Note: the exponent becomes positive

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Negative Exponents

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Partners Find a partner with a different letter Compare and check each others answers

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Worksheet Complete any 10 problems

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What’s the difference?

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