Basic Math & Pre-Algebra For Dummies
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Exponents (also called powers) are shorthand for repeated multiplication. For example, 23 means to multiply 2 by itself three times. To do that, use the following notation:

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In this example, 2 is the base number and 3 is the exponent. You can read 23 as “2 to the third power” or “2 to the power of 3” (or even “2 cubed,” which has to do with the formula for finding the value of a cube).

Here’s another example:

105 means to multiply 10 by itself five times
That works out like this:

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This time, 10 is the base number and 5 is the exponent. Read 105 as “10 to the fifth power” or “10 to the power of 5.”

When the base number is 10, figuring out any exponent is easy. Just write down a 1 and that many 0s after it:

1 with two 0s 1 with seven 0s 1 with twenty 0s
102 = 100 107 = 10,000,000 1020 = 100,000,000,000,000,000,000
Exponents with a base number of 10 are important in scientific notation.

The most common exponent is the number 2. When you take any whole number to the power of 2, the result is a square number. For this reason, taking a number to the power of 2 is called squaring that number. You can read 32 as “three squared,” 42 as “four squared,” and so forth. Here are some squared numbers:

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Any number (except 0) raised to the 0 power equals 1. So 10, 370, and 999,9990 are equivalent, or equal, because they all equal 1.

About This Article

This article is from the book:

About the book author:

Mark Zegarelli is a professional writer with degrees in both English and Math from Rutgers University. He has earned his living for many years writing vast quantities of logic puzzles, a hefty chunk of software documentation, and the occasional book or film review. Along the way, he’s also paid a few bills doing housecleaning, decorative painting, and (for ten hours) retail sales. He likes writing best, though.

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