5.1 Notes

# 5.1 Notes - 5.1 Exponents and Scientific Notation Goal:...

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5.1 Exponents and Scientific Notation Goal:   Simplify or evaluate expressions containing exponents Purpose:   Many equations modeling real life problems contain exponents.  Very large and very  small numbers are often written using exponents. Product Rule for Exponents: If m and n are positive integers and a is a real number, then a m ∙a n  = a m+n Examples: x 5 ∙x 3  =  (4xy)(-5x) =  Zero Exponent If a does not equal 0, then a = 1 Example:   (4x + 5) 0  =

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Quotient Rule for Exponents If a is a nonzero real number and n and m are integers, then = - aman am n Examples: = a5a2 = x9y6x8y6 Negative Exponents If a is a real number other than 0 and n is an integer, then - = a n 1an When a factor containing an exponent is moved from the numerator to the denominator or from  the denominator to the numerator, the sign of its exponent changes.
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## This note was uploaded on 05/13/2011 for the course MTH 110 taught by Professor Helenius during the Spring '08 term at Grand Valley State.

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5.1 Notes - 5.1 Exponents and Scientific Notation Goal:...

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