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Definitions: Base, Exponent, And Power
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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 3
^{4}
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 3
^{4}
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 3
^{4}
equals 81. The result
81
is called the Power of 3
^{4}
.
Any
Natural Numbers
can be a exponent.
Any base number with an exponent of one, is the base number itself. For example: 6
^{1}
equals 6.
Any base number with an exponent of zero, is zero. For example: 9
^{0}
equals 0. There is one important exception: zero. Example 0
^{0}
is
undefined
- not zero!
Power Examples
Input Base
Input Exponent
Answer
2
3
2
^{3}
= 8
-2.5
3
-2.5
^{3}
= -15.625
2
16
2
^{16}
= 65,536
73
37
73
^{37}
= 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
Your Answer (Power)
You can enter up to 10 digits (input integer or decimal)
Correct Answer (Power)
See More About Exponents And Powers Of Numbers