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Algebra 2: Section 6.1 Properties of Exponents

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Product of Powers –(when multiplying like bases, add exponents) Power of a Power –(when taking an exponent to a power, multiply the exponents)

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Properties of Exponents Power of a Product –(distribute) Negative Exponent –(flip to opposite side)

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Properties of Exponents Zero Exponent –(anything taken to the zero power is 1) Quotient of Powers –(when dividing like bases, subtract exponents)

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Properties of Exponents Power of a Quotient –(distribute)

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Rules for Simplifying Exponential Expressions NO negative exponents Simplify all numbers taken to a power Variables go in alphabetic order Only one occurrence of each variable in a single term

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Examples:

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Examples:

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Examples:

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MORE Examples:

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Homework p.326 #16-46 evens

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Exponent Properties Product of Powers: 23 ● 22 = 23+2 = 25

Exponent Properties Product of Powers: 23 ● 22 = 23+2 = 25

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