Explanation:
Exponentiation
Exponentiation is a mathematical operation, written as a^{n}, involving two numbers, the base a and the exponent (or power) n. When n is a positive integer,
exponentiation corresponds to repeated multiplication; in other words,
a product of n factors of a (the product itself can also be called power)
just as multiplication by a positive
integer corresponds to repeated addition
Exponents one and zero
Notice that a^{1} is the "product" of only one a, which is defined to be a. Also note that a^{n}^{ }^{− 1} = a^{n}/a.
Assuming n = 1, we get a^{0} = 1. Another way of saying this is
that when n, m, and n −m are positive (and if a is not equal to zero), one can see
that
(Our solved example in mathguru.com uses this concept)
Extended to the special case when n and m are equal, the equality would read
(Our solved example in mathguru.com uses this concept)
since both the numerator and the denominator are equal. Therefore
we take this as the definition of a^{0}.
This leads to the following rule:
1.
Any number raised to the power 1 is the number itself.
2.
Any nonzero number raised to the power 0 is 1. (Our
solved example in mathguru.com uses this concept)
http://en.wikipedia.org/wiki/Exponentiation
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