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Published byDarlene York Modified over 6 years ago

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Section 5.1 Integer Exponents

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Overview Recall that exponents are used to indicate repeated multiplication: In this section we explore properties of exponents that will be true for all real number bases and all integer exponents.

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The Product Rule When you multiply with like bases, keep the bases and add the exponents.

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The Zero Rule Anything to the zero power is 1.

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The “Understood 1” Rule Anything to the first power is that thing.

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Negative Exponents Any expression with a negative exponent can be re-written as an expression with a positive exponent.

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Quotient Rule When you divide with like bases, keep the base and subtract the exponents.

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Power Rules These rules apply to products, quotients, or powers being raised to powers. When you raise a power to a power, keep the base and multiply the exponents. These two properties are the “distributive” properties of exponents.

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Examples

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