# How To: Divide exponents with the quotient rule

Exponent of a number is nothing but the number multiplied to it self the exponent number of times. So five squared it equal to five multiplied to it self. Now when an exponential number is divided with another such number the result is the number raised to the different of the exponents. That is the ratio of x raised by a to x raised by b is x raised to (a-b). Similarly if we multiply a exponential number with other such number, the result is equal to that number raised to the sum of exponents of the numbers. That is the product of x raised to a and x raised to b is x raised to (a+b). In this way the multiplications and division of numbers involving exponents can be simplified by these two formulas. This video shows how to solve math problems involving exponential numbers.

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