Whether you are asking: “what is 100 to the power of 3?” or “what is 100 to the 3 power?” or “what is 100 raised to the power of 3?” or “what is 100 raised to 3?” you are looking to perform a mathematical operation called exponentiation of 100 to the power of 3. Don’t be confused by the term “exponentiation”. The calculation itself is not too complex. But before we explain the details of the calculation, here is your answer:
100 to the power of 3 = 1003 = 100^3 = 1000000
ANSWER: 1000000
You can confirm this calculation or perform any other exponent calculation in the exponent calculator below:
Raising 100 to the Power of 3 Explained
First, let’s clarify the terms. We mentioned that we are performing exponentiation when we raise 100 to the power of 3. While performing exponentiation we multiply a number called base (mathematically denoted as “b” or “x”) by itself a certain number of times (mathematically denoted as “n” or “y”). The “number of times” is called exponent. To sum up, in this example 100 is the base (b) and 3 is an exponent (n).
Mathematical Expression for 100 to the 3 Power
There are two ways how raising 100 to the 3 power is written. You can write this expression with a superscript which is a small number written immediately above and to the right of the base as shown below:
1003
Another way to write 100 to the 3 power is to use the caret (^) symbol. For example, this comes handy for calculations in Excel where you perform exponentiation using caret (^) symbol. Here is the expression:
100^3
Does not matter whether you use a superscript or a caret symbol to write the expression the underpinning formula looks like this:
100 to the power of 3 = 100 x … x 100 (3 times)
To recap 100 is the base and 3 is the exponent (number of times that you multiply the base with).
How to solve 100 to the 3 power on a scientific calculator
If you are using a scientific calculator you can quickly raise 100 to the power of 3 following these steps:
- Type 100 in the calculator
- Then press “xy” button
- Enter 3 and hit “=”
You will notice that the calculator expression uses the caret (^) symbol as opposed to a superscript.
For more exponent calculations visit our exponent calculator page.
Common exponent calculation quick table
Find some of the most common exponent calculations below. In the first column you see the base or x and in the subsequent columns you have exponents or y with the caret (^) symbol.
| Base |
^1 |
^2 |
^3 |
^4 |
^5 |
| 1 |
1 |
1 |
1 |
1 |
1 |
| 2 |
1 |
4 |
8 |
16 |
32 |
| 3 |
1 |
9 |
27 |
81 |
243 |
| 4 |
1 |
16 |
64 |
256 |
1,024 |
| 5 |
1 |
25 |
125 |
625 |
3,125 |
| 6 |
1 |
36 |
216 |
1,296 |
7,776 |
| 7 |
1 |
49 |
343 |
2,401 |
16,807 |
| 8 |
1 |
64 |
512 |
4,096 |
32,768 |
| 9 |
1 |
81 |
729 |
6,561 |
59,049 |
| 10 |
1 |
100 |
1,000 |
10,000 |
100,000 |
| 11 |
1 |
121 |
1,331 |
14,641 |
161,051 |
| 12 |
1 |
144 |
1,728 |
20,736 |
248,832 |
| 13 |
1 |
169 |
2,197 |
28,561 |
371,293 |
| 14 |
1 |
196 |
2,744 |
38,416 |
537,824 |
| 15 |
1 |
225 |
3,375 |
50,625 |
759,375 |
| 16 |
1 |
256 |
4,096 |
65,536 |
1,048,576 |
| 17 |
1 |
289 |
4,913 |
83,521 |
1,419,857 |
| 18 |
1 |
324 |
5,832 |
104,976 |
1,889,568 |
| 19 |
1 |
361 |
6,859 |
130,321 |
2,476,099 |
| 20 |
1 |
400 |
8,000 |
160,000 |
3,200,000 |