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Rational Numbers as Exponents

Rational Numbers as Exponents We can represent rational numbers as exponents, but before representing we need to know what is a rational number, any number that can be represented in the a/b, where a and b are real numbers, where b can't be zero. We can perform many operations in rational number as addition, subtraction, division and multiplication. Rational numbers have a wide application in the world of mathematics. If we talk about exponential functions, they are always represented by e^x. These functions are generally used in integration and differentiation; these types of functions are always increasing. We can represent them in logarithm form as well. As we are seeing the general form of exponential function is e^x so when x will increase then surely function will increase. Now we will see how we can represent rational number as exponent, we can use rational number in place of x, so we can write the exponential function as e^3/4.

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Uploaded on March 15, 2012
Taken on March 14, 2012