488 to the Power of 3 = 488 3 = 116214272
488 to the power of 3 = 116214272
Welcome to our exponent calculator! We're exploring the concept of "488 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, 488 is the base, and 3 is the exponent.
Calculation
To calculate 488 to the power of 3, we multiply 488 by itself 3 times. Here's the step-by-step process:
| Step | Calculation | Result |
|---|---|---|
| 1 | 488 | 488 |
| 2 | 488 × 488 | 238144 |
| 3 | 488 × 488 × 488 | 116214272 |
Solution: 488 to the power of 3 is equal to 116214272.
How to write 488 to the power of 3 ?
Step 1: Understand the Concept
"488 to the power of 3" means we're multiplying 488 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, 488 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 4883.
Step 4: Calculate the Result
If we actually compute this:
Practice
Try writing these on your own:
- 487 to the power of 2
- 489 to the power of 4
- 3 to the power of 488
Interactive Power Calculator
Similar Calculations:
| Number | Power | Answer |
|---|---|---|
| 489 | 3 | 4893 = 116930169 |
| 490 | 3 | 4903 = 117649000 |
| 491 | 3 | 4913 = 118370771 |
Related Mathematical Operations
Square Root
The square root is the inverse operation of squaring a number. For our example:
v118370771 ≈ 10,879.8332
This is approximate because 488^3 isn't a perfect square.
Logarithm
Logarithms are the inverse of exponential functions. The logarithm of 118370771 with base 488 should equal 3:
log488(118370771) = 3
Exponent Properties
1. Multiplying exponents with the same base: 488a * 488b = 488(a+b)
Example: 4882 * 4883 = 4885 = 27675731591168
2. Dividing exponents with the same base: 488a / 488b = 488(a-b)
Example: 4885 / 4882 = 4883 = 116214272