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Exponents and Polynomials - XYZ Custom Plus

Exponents and Polynomials - XYZ Custom Plus

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604Chapter 9 <strong>Exponents</strong> <strong>and</strong> <strong>Polynomials</strong>Negative <strong>Exponents</strong> [9.4]8. 2 −3 = ​ 1 _2 3 ​= ​1 _8 ​If r is a positive number <strong>and</strong> a is any number other than zero, then a −r = ​ 1 _a r​.Division Property for Expressions Containing <strong>Exponents</strong> [9.4]9. ​ 242_​= 24−77= 2 −3= ​ 1 _2 3 ​= ​ 1 _8 ​If a is any number other than zero, <strong>and</strong> r <strong>and</strong> s are integers, then_​ arr−s​= asaIn words: To divide two numbers with the same base, subtract the exponent in thedenominator from the exponent in the numerator, <strong>and</strong> use the common base asthe base in the answer.Scientific Notation [9.5, 9.6]10. 768,000 = 7.68 × 10 50.00039 = 3.9 × 10 −4A number is in scientific notation when it is written as the product of a numberbetween 1 <strong>and</strong> 10 <strong>and</strong> an integer power of 10.

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