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P2 Exponents & Radicals

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What does an exponent tell you?? Repeated Multiplication How many times you multiply the base by itself.

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Expand the following: General Rule on Negatives:

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Properties of Exponents

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Examples

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Try Some Harder Ones

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Scientific Notation

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Radicals and their Properties Square RootCube Root One of its two equal factors One of its three equal factors If a and b are real numbers,, then

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Examples

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Properties of Radicals

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Let’s Look at Property #6 Ok… think about this What are the solutions to this?

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Let’s Try a few

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Simplifying Radicals No denominators with Radicals & All numbers and exponents in simplest form List: All perfect squares from 1- 15 All perfect cubes from 1- 6 All perfect fourths from 1- 4 All perfect fifths from 1- 4

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Warm-up

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Adding and Subtracting Radicals must be “like radicals” (same index and radicand) Examples

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Rationalizing Denominators & Numerators Ex. 1 Ex. 2

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Ex. 3 (with 2 terms in the denominator) Ex. 4 (with 2 terms in the numerator)

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Now You Try Some

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Rational Exponents Examples

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R8 Radicals and Rational Exponent s. Radical Notation n is called the index number a is called the radicand.

R8 Radicals and Rational Exponent s. Radical Notation n is called the index number a is called the radicand.

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