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Example:Solve for x in Equation using Laws of Exponents

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Rational number


In mathematics, a rational number is any number that can be expressed as the quotient or fraction a/b of two integers, with the denominator b not equal to zero. (Our solved example in mathguru.com uses this concept)

Since b may be equal to 1, every integer is a rational number. The set of all rational numbers is usually denoted by a boldface Q.






Exponentiation is a mathematical operation, written as an, 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


Identities and properties


The most important identity satisfied by integer exponentiation is

(Our solved example in mathguru.com uses this concept)

This identity has the consequence

for a ≠ 0, and

Another basic identity is





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.