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Published byHilary McKenzie Modified over 7 years ago

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Laws of Exponents

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Exponential Notation Base Exponent Base raised to an exponent

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Goal To write simplified statements that contain distinct bases, one whole number in the numerator and one in the denominator, and no negative exponents. Ex:

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Description of Lesson This power point will address the laws of exponents in the following manner: 1.Explore how the rule works. 2.State the rule. 3.Provide an example with a solution. 4.Provide extra examples (Find me to get solutions)

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Exploration Evaluate the following without a calculator: 3 4 = 3 3 = 3 2 = 3 1 = Describe a pattern and find the answer for: 3 0 = 81 27 9 3 1 ÷ 3

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Zero Power Anything to the zero power is one Can “a” equal zero? a 0 = 1 No. You can’t divide by 0.

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Exploration Simplify:

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Product of a Power If you multiply powers having the same base, add the exponents.

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Example Simplify:

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Practice Simplify the following expressions:

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Exploration Simplify:

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Power of a Power To find a power of a power, multiply the exponents.

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Example Simplify:

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Practice Simplify the following expressions:

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Exploration Simplify:

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Power of a Product If a base has a product, raise each factor to the power

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Example Simplify:

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Practice Simplify the following expressions:

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Negative Powers A simplified expression has no negative exponents.

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Example Simplify:

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Example Simplify:

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Practice Simplify the following expressions:

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Exploration Simplify:

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Quotient of a Power To find a quotient of a power, subtract the bottom exponent from the top if the bases are the same.

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Example Simplify:

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Practice Simplify the following expressions:

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Exploration Simplify:

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To find a power of a quotient, raise the denominator and numerator to the same power. Power of a Quotient

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Example Simplify:

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Practice Simplify the following expressions:

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