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Example:Find Value of an Expression using Laws of Exponent

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Explanation:

 

 

Exponentiation

 

Exponentiation is a mathematical operation, written as an, involving two numbers, the base a and the exponent n. When n is a positive integer exponentiation corresponds to repeated multiplication; in other words, a product of n factors of a:

Just as multiplication by a positive integer corresponds to repeated addition

 

The exponent is usually shown as a superscript to the right of the base. The exponentiation an can be read as: a raised to the n-th power, a raised to the power [of] n, or possibly a raised to the exponent [of] n, or more briefly as a to the n. Some exponents have their own pronunciation: for example, a2 is usually read as a squared and a3 as a cubed.

 

Negative integer exponents

 

By definition, raising a nonzero number to the −1 power produces its reciprocal:

One also defines

for any nonzero a and any positive integer n. (Our solved example in mathguru.com uses this concept)

 

http://en.wikipedia.org/wiki/Exponentiation

 

The above explanation is copied from Wikipedia, the free encyclopedia and is remixed as allowed under the Creative Commons Attribution- ShareAlike 3.0 Unported License.