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mgb5e_ppt_5_5 - 5.5 Negative Exponents and Scientific...

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§ 5.5 Negative Exponents and Scientific Notation
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Martin-Gay, Beginning Algebra, 5ed 2 Negative Exponents Negative Exponents If a is a real number other than 0 and n is an integer, then 1 n n a a - = Example: Simplify by writing each expression with positive exponents. 2 3 1 = 9 1 = 4 2 x = Remember that without parentheses, x is the base for the exponent –4, not 2 x 2 3 - 4 2 - x
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Martin-Gay, Beginning Algebra, 5ed 3 Simplify by writing each of the following expressions with positive exponents. Simplifying Expressions 2 3 - - 2 3 1 - = 9 1 - = 2 ) 3 ( - - 2 ) 3 ( 1 - = 9 1 = Notice the difference in results when the parentheses are included around - 3. 3 1 x = - 3 x - - Example:
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Martin-Gay, Beginning Algebra, 5ed 4 Simplify by writing each of the following expressions with positive exponents. 3 1 - x 3 1 1 x = 4 2 - - y x 4 2 1 1 y x = 2 4 x y = 1 3 x = 3 x = (Note that to convert a power with a negative exponent to one with a positive exponent, you simply switch the power from a numerator to a denominator, or vice versa, and switch the exponent to its positive value.) Simplifying Expressions Example:
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Martin-Gay, Beginning Algebra, 5ed 5 2 3 7 4 3 2 3
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