380 to the Power of 3 = 380 3 = 54872000
Welcome to our exponent calculator! We're exploring the concept of "380 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, 380 is the base, and 3 is the exponent.
Calculation
To calculate 380 to the power of 3, we multiply 380 by itself 3 times. Here's the step-by-step process:
| Step | Calculation | Result |
|---|---|---|
| 1 | 380 | 380 |
| 2 | 380 × 380 | 144400 |
| 3 | 380 × 380 × 380 | 54872000 |
Solution: 380 to the power of 3 is equal to 54872000.
How to write 380 to the power of 3 ?
Step 1: Understand the Concept
"380 to the power of 3" means we're multiplying 380 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, 380 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 3803.
Step 4: Calculate the Result
If we actually compute this:
Practice
Try writing these on your own:
- 379 to the power of 2
- 381 to the power of 4
- 3 to the power of 380
Interactive Power Calculator
Similar Calculations:
| Number | Power | Answer |
|---|---|---|
| 381 | 3 | 3813 = 55306341 |
| 382 | 3 | 3823 = 55742968 |
| 383 | 3 | 3833 = 56181887 |
Related Mathematical Operations
Square Root
The square root is the inverse operation of squaring a number. For our example:
v56181887 ≈ 7,495.4578
This is approximate because 380^3 isn't a perfect square.
Logarithm
Logarithms are the inverse of exponential functions. The logarithm of 56181887 with base 380 should equal 3:
log380(56181887) = 3
Exponent Properties
1. Multiplying exponents with the same base: 380a * 380b = 380(a+b)
Example: 3802 * 3803 = 3805 = 7923516800000
2. Dividing exponents with the same base: 380a / 380b = 380(a-b)
Example: 3805 / 3802 = 3803 = 54872000