Exponents are shorthand for multiplication: 5 x 5 = 52, 5 x 5 x 5 = 53. The "exponent" stands for however many times the factor is being multiplied. The factor that's being multiplied is called the "base". This process of using exponents is called "raising to a power", where the exponent is the "power". "53" is "five, raised to the third power". When we deal with numbers, we usually just simplify; we'd rather deal with "27" than with "33.”

Exponents

The chart below shows the factor form, the exponential form, the product of the factors, and a description of the expression.

There are some special examples to think about when dealing with exponents.  Any number to the 0 power equals one.  Any number to the first power equals itself.  Any number to the second power is read and said as “squared.”  Any number to the third power is read and said as “cubed.”

If you would like to practice, copy and complete the chart below.