508 to the Power of 3 = 508 3 = 131096512
508 to the power of 3 = 131096512
Welcome to our exponent calculator! We're exploring the concept of "508 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, 508 is the base, and 3 is the exponent.
Calculation
To calculate 508 to the power of 3, we multiply 508 by itself 3 times. Here's the step-by-step process:
| Step | Calculation | Result |
|---|---|---|
| 1 | 508 | 508 |
| 2 | 508 × 508 | 258064 |
| 3 | 508 × 508 × 508 | 131096512 |
Solution: 508 to the power of 3 is equal to 131096512.
How to write 508 to the power of 3 ?
Step 1: Understand the Concept
"508 to the power of 3" means we're multiplying 508 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, 508 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 5083.
Step 4: Calculate the Result
If we actually compute this:
Practice
Try writing these on your own:
- 507 to the power of 2
- 509 to the power of 4
- 3 to the power of 508
Interactive Power Calculator
Similar Calculations:
| Number | Power | Answer |
|---|---|---|
| 509 | 3 | 5093 = 131872229 |
| 510 | 3 | 5103 = 132651000 |
| 511 | 3 | 5113 = 133432831 |
Related Mathematical Operations
Square Root
The square root is the inverse operation of squaring a number. For our example:
v133432831 ≈ 11,551.3130
This is approximate because 508^3 isn't a perfect square.
Logarithm
Logarithms are the inverse of exponential functions. The logarithm of 133432831 with base 508 should equal 3:
log508(133432831) = 3
Exponent Properties
1. Multiplying exponents with the same base: 508a * 508b = 508(a+b)
Example: 5082 * 5083 = 5085 = 33831290272768
2. Dividing exponents with the same base: 508a / 508b = 508(a-b)
Example: 5085 / 5082 = 5083 = 131096512