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Example:Find Value of an Expression using Laws of Exponent

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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)




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.