Exponential Form and Standard Form

Standard Form is the "normal" way we see numbers

Exponential form is a way of expressing a standard number using a base and a smaller raised number called an exponent.

Rules for writing in exponential form:

An exponent is used to tell how many times a number, called the base is used as a factor:

Step 1 Multiply the base number times the base number as many times as the value of the exponent

                        Example: 56 = 5 5 5 5 5 5 = 15625  

                        56 is in exponential form

                        5 5 5 5 5 5  is in expanded form

                         15625 is in standard form

When the exponent is 2 we say we are squaring the base number

                        Example: 42 = four squared = 16

When the exponent is 3 we say we are cubing the base number

                        Example: 43 four cubed = 64