<a href="https://plus.google.com/108776584172573388247?rel=author">Kazumi</a>
Math K-Plus
Home
Math Menu
Math Facts
Counting
Addition
Subtraction
Multiplication
Division
Math Properties
Numerical Expressions
Factoring
Fractions
Powers and Exponents
Number Roots
Shapes In Geometry
Company
About Us
Privacy Policy
Terms Of Use
Copyright
Contact Math K-Plus
Resources
Help
Exponents - What Is The Relationship Of A Exponent To its Base?
Math Test
Math Quiz
Quiz Results
What Is The Base Of A Number Raised To An Exponent?
Lets start of talking about the rules of exponents which is a multiplication shortcut. Let's 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 power".
3
^{4}
is called the
Base
- the number being multiplied.
3
^{4}
is called the
Exponent
- the numbers of time the multiplication is being performed.
Also 3
^{4}
equals 81. Since the 81 is the result of multiplying three - four times, it is called a power of four.
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!
Exponents Examples
Input Base
Input Exponent
Math Expression
Your Answer
2
3
2
^{3}
8
-2.5
3
-2.5
^{3}
-15.625
2
64
2
^{64}
18,446,744,073,709,600,000
73
37
73
^{37}
8.76891427553567E+68
Exponents Calculator
Instructions
Field Name
User Input
Practice Exponent instructions:
If you want to
check the answer to a homework problem
fill in the empty fields:
Base
and
Exponent
.
If you want to
practice solving power and exponent problems
, press the
New Problem
button and it will fill in the
Base
and
Exponent
.
Next fill in the
Your Answer
field with your answer to the problem.
Press the
Submit
button to see if your answer is correct.
Base
You can enter up to 6 digits
Exponent
You can enter up to 6 digits
Your Answer
You can enter up to 10 digits (input integer or decimal)
Correct Answer
See More About Roots Of Numbers