exponent rules

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Created by:

maurihall Plus on September 30, 2011

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exponent rules

a^m times a^n
a^m+n
1/14

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a^m times a^n a^m+n
for a not equal to zero, a^m/a^n if m > n a^m-n
for a not equal to zero, a^m/a^n if m < n a/a^ n-m
for a not equal to zero, a^m/a^n if m = n 1
(ab)^m a^m times b^m (also written a^mb^m)
(a/b)^m a^m/b^m once b is not zero
(a^m)^n a^mn (a to the power of m times n)
a^-1 1/a
a^-2 1/a^2
a^(1/2) square root of a
a^-(1/2) 1/square root a
a^(3/2) square root of (a to the power of 3)
a^ -(3/2) 1/square root of (a to the power of 3)
a^1/3 cube root of a

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