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Published byKelly George Modified over 8 years ago
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Warm Up On your next available page create a table of contents labeled UNIT 1 Using rational and irrational #’s to solve problems w/ exponents and roots
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Page 1 Exponents … What do you notice? 5 1 = 1 x 5 = 5 5 2 = 1 x 5 x 5 = 25 5 3 = 1 x 5 x 5 x 5 = 125 5 4 = 1 x 5 x 5 x 5 x 5 = 625 5 5 = 1 x 5 x 5 x 5 x 5 x 5 = 3,125
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Exponents
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Negative Exponents
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Negative exponents Negative means to divide one by the number (base) the number of times describes by the exponent.
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What do you notice? Positive Exponent 5 1 = 5 = 5 5 2 = 5 x 5 = 25 5 3 = 5 x 5 x 5 = 125 5 4 = 5 x 5 x 5 x 5 = 625 5 5 = 5 x 5 x 5 x 5 x 5 = 3,125
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Consolidating 2 x 2 x 2 x 3 x 3 x 3 x 3 x 4 x 4 3 x 3 x 5 x 2 x 2 x 3 x 5 N x N x Y x Y x Y x Y
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Page 2 Expanded and Exponent Form Pick up where you left off yesterday
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Foldable Exponent of 1 Exponent Of 0 Negative Exponent Product Law Quotient Law Power Law
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Exponent of 1 If a # is raised to the power of 1 the answer will be the base. 10 1 = 10 6 1 = 6 143 1 = 143
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Exponent of 0 If a # is raised to the power of 1 the answer will be the base. 10 1 = 10 6 1 = 6 143 1 = 143 7 0 = 1 25 0 = 1 890 0 = 1 If a # is raised to the power of 0, the answer will be 1.
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Negative Exponent If a # is raised to the power of 1 the answer will be the base. 10 1 = 10 6 1 = 6 143 1 = 143 7 0 = 1 25 0 = 1 890 0 = 1 If a # is raised to the power of 0, the answer will be 1.
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Product Law If a # is raised to the power of 1 the answer will be the base. 10 1 = 10 6 1 = 6 143 1 = 143 7 0 = 1 25 0 = 1 890 0 = 1 If a # is raised to the power of 0, the answer will be 1. If 2 #’s have the same base and are being multiplied, keep the base and ADD the exponents
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Quotient Law If a # is raised to the power of 1 the answer will be the base. 10 1 = 10 6 1 = 6 143 1 = 143 7 0 = 1 25 0 = 1 890 0 = 1 If a # is raised to the power of 0, the answer will be 1. If 2 #’s have the same base and are being multiplied, keep the base and ADD the exponents If 2 #’s have the same base and are being divided, keep the base and SUBTRACT the exponents
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Power Law If a # is raised to the power of 1 the answer will be the base. 10 1 = 10 6 1 = 6 143 1 = 143 7 0 = 1 25 0 = 1 890 0 = 1 If a # is raised to the power of 0, the answer will be 1. If 2 #’s have the same base and are being multiplied, keep the base and ADD the exponents If 2 #’s have the same base and are being divided, keep the base and SUBTRACT the exponents If an exponent is outside parentheses MULTIPLY it to the exponent inside the parentheses.
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