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MR. TOWNSLEY'S
MATH DEPARTMENT


EXPONENT PROPERTIES:

baseexponent

In the following properties,

the bases (a and b) are from the set of NONZERO INTEGERS. The exponents (m, n and p) are from the set of INTEGERS. (By the end of Algebra 2, we will allow exponents from the set of RATIONAL NUMBERS)

1) PRODUCT OF POWERS: am * an = am + n

2) POWER OF A POWER: ( am )n = amn

3) QUOTIENT OF POWERS: am / an = am - n

4) POWER OF A PRODUCT: ( am bn )p = amp bnp

5) POWER OF A QUOTIENT: ( am / bn )p = amp / bnp

6) ZERO EXPONENT: a0 = 1

7) NEGATIVE EXPONENT: a-n = 1 / an




E-mail Mr. Townsley at ktownsley@po-1.central-clinton.k12.ia.us