MR. TOWNSLEY'S
MATH DEPARTMENT

EXPONENT PROPERTIES:

base^exponent

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: a^m * aⁿ = a^{m + n}

2) POWER OF A POWER: ( a^m )ⁿ = a^mn

3) QUOTIENT OF POWERS: a^m / aⁿ = a^{m - n}

4) POWER OF A PRODUCT: ( a^m bⁿ )^p = a^mp b^np

5) POWER OF A QUOTIENT: ( a^m / bⁿ )^p = a^mp / b^np

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

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