## Using Exponents
General Explanation
In mathematics, you will soon come across many long ways of doing things and many shortcuts
that accomplish the same thing. In this lesson we will see how to simplify how we write
an expression by using something called an EXPONENT.
Look at this multiplication: 7 x 7 x 7 x 7 There are four factors, and each has a value of 7. This can be written as 7 ^{4}.
The "7" is called the base and the "4" is called the exponent. The exponent tells
how many times the base is used as a factor. The entire expression "7^{4}" is called a power.
In general, r ^{n} = {r x r x r x r ..... x r} with r as a factor n times.
sTwo other important facts about exponents are: aExponents of positive two and three have special names: SQUARES and CUBES, respectively. 9 Sample Problem
Find the value of the following:
9 Solution
Since the base is 9 and the exponent is 3, we must use 9 as a factor three times.
9 x 9 x 9 = 729 The value of 9 |