367 to the Power of 5 = 367 5 = 6657793506607
Welcome to our exponent calculator! We're exploring the concept of "367 to the power of 5". 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, 367 is the base, and 5 is the exponent.
Calculation
To calculate 367 to the power of 5, we multiply 367 by itself 5 times. Here's the step-by-step process:
| Step | Calculation | Result |
|---|---|---|
| 1 | 367 | 367 |
| 2 | 367 × 367 | 134689 |
| 3 | 367 × 367 × 367 | 49430863 |
| 4 | 367 × 367 × 367 × 367 | 18141126721 |
| 5 | 367 × 367 × 367 × 367 × 367 | 6657793506607 |
Solution: 367 to the power of 5 is equal to 6657793506607.
How to write 367 to the power of 5 ?
Step 1: Understand the Concept
"367 to the power of 5" means we're multiplying 367 by itself 5 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, 367 is called the "base", and 5 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 3675.
Step 4: Calculate the Result
If we actually compute this:
Practice
Try writing these on your own:
- 366 to the power of 4
- 368 to the power of 6
- 5 to the power of 367
Interactive Power Calculator
Similar Calculations:
| Number | Power | Answer |
|---|---|---|
| 368 | 5 | 3685 = 6748994797568 |
| 369 | 5 | 3695 = 6841192812849 |
| 370 | 5 | 3705 = 6934395700000 |
| 367 | 4 | 3674 = 18141126721 |
Related Mathematical Operations
Square Root
The square root is the inverse operation of squaring a number. For our example:
v18141126721 ≈ 134,689.0000
This is approximate because 367^5 isn't a perfect square.
Logarithm
Logarithms are the inverse of exponential functions. The logarithm of 18141126721 with base 367 should equal 5:
log367(18141126721) = 5
Exponent Properties
1. Multiplying exponents with the same base: 367a * 367b = 367(a+b)
Example: 3672 * 3673 = 3675 = 6657793506607
2. Dividing exponents with the same base: 367a / 367b = 367(a-b)
Example: 3675 / 3672 = 3673 = 49430863