484 to the Power of 3 = 484 3 = 113379904
484 to the power of 3 = 113379904
Welcome to our exponent calculator! We're exploring the concept of "484 to the power of 3". Let's break down what this means and how to calculate it.
What are Exponents?
An exponent is a mathematical operation where we multiply a number (called the base) by itself a certain number of times (indicated by the power or exponent). In our case, 484 is the base, and 3 is the exponent.
Calculation
To calculate 484 to the power of 3, we multiply 484 by itself 3 times. Here's the step-by-step process:
| Step | Calculation | Result |
|---|---|---|
| 1 | 484 | 484 |
| 2 | 484 × 484 | 234256 |
| 3 | 484 × 484 × 484 | 113379904 |
Solution: 484 to the power of 3 is equal to 113379904.
How to write 484 to the power of 3 ?
Step 1: Understand the Concept
"484 to the power of 3" means we're multiplying 484 by itself 3 times. Let's break this down:
Step 2: Learn the Notation
In mathematics, we have a special way to write this more concisely. We use superscript notation:
Here, 484 is called the "base", and 3 is called the "exponent" or "power".
Step 3: Understand Alternative Notations
Sometimes, especially when typing or in programming, you might see it written as:
This means the same thing as 4843.
Step 4: Calculate the Result
If we actually compute this:
Practice
Try writing these on your own:
- 483 to the power of 2
- 485 to the power of 4
- 3 to the power of 484
Interactive Power Calculator
Similar Calculations:
| Number | Power | Answer |
|---|---|---|
| 485 | 3 | 4853 = 114084125 |
| 486 | 3 | 4863 = 114791256 |
| 487 | 3 | 4873 = 115501303 |
Related Mathematical Operations
Square Root
The square root is the inverse operation of squaring a number. For our example:
v115501303 ≈ 10,747.1533
This is approximate because 484^3 isn't a perfect square.
Logarithm
Logarithms are the inverse of exponential functions. The logarithm of 115501303 with base 484 should equal 3:
log484(115501303) = 3
Exponent Properties
1. Multiplying exponents with the same base: 484a * 484b = 484(a+b)
Example: 4842 * 4843 = 4845 = 26559922791424
2. Dividing exponents with the same base: 484a / 484b = 484(a-b)
Example: 4845 / 4842 = 4843 = 113379904