 Math K-Plus

# Definitions: Base, Exponent, And Power

## What Is The Base Number Raised By Exponent

Lets start talking about the rules of exponents which is a multiplication shortcut. Lets start with an example. The expression 34 means 3 is multiplied by itself 4 times: 3 x 3 x 3 x 3 = 9 x 9 = 81. Now let's break this example down into more detail.
• The first thing we notice is this is shorthand for multiplication.
• The expression 34 is read as "three to the fourth".
• 3 is called the Base - the number being multiplied.
• 4 is called the Exponent - the numbers of time the multiplication is being performed.
• Also 34 equals 81. The result 81 is called the Power of 34.
• Any Natural Numbers can be a exponent.
• Any base number with an exponent of one, is the base number itself. For example: 61 equals 6.
• Any base number with an exponent of zero, is zero. For example: 90 equals 0. There is one important exception: zero. Example 00 is undefined - not zero!

Power Examples

## Input Exponent

2 3 23 = 8
-2.5 3 -2.53 = -15.625
2 16 216 = 65,536
73 37 7337 = 8.76E+68

Powers And Exponents Calculator
Field Name User Input
Base
You can enter up to 6 digits
Exponent
You can enter up to 6 digits 