320 to the Power of 2 = 320 2 = 102400
320 to the power of 2 = 102400
Welcome to our exponent calculator! We're exploring the concept of "320 to the power of 2". 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, 320 is the base, and 2 is the exponent.
Calculation
To calculate 320 to the power of 2, we multiply 320 by itself 2 times. Here's the step-by-step process:
| Step | Calculation | Result |
|---|---|---|
| 1 | 320 | 320 |
| 2 | 320 × 320 | 102400 |
Solution: 320 to the power of 2 is equal to 102400.
How to write 320 to the power of 2 ?
Step 1: Understand the Concept
"320 to the power of 2" means we're multiplying 320 by itself 2 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, 320 is called the "base", and 2 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 3202.
Step 4: Calculate the Result
If we actually compute this:
Practice
Try writing these on your own:
- 319 to the power of 1
- 321 to the power of 3
- 2 to the power of 320
Interactive Power Calculator
Similar Calculations:
| Number | Power | Answer |
|---|---|---|
| 321 | 2 | 3212 = 103041 |
| 322 | 2 | 3222 = 103684 |
| 323 | 2 | 3232 = 104329 |
Related Mathematical Operations
Square Root
The square root is the inverse operation of squaring a number. For our example:
v104329 ≈ 323.0000
This is approximate because 320^2 isn't a perfect square.
Logarithm
Logarithms are the inverse of exponential functions. The logarithm of 104329 with base 320 should equal 2:
log320(104329) = 2
Exponent Properties
1. Multiplying exponents with the same base: 320a * 320b = 320(a+b)
Example: 3202 * 3203 = 3205 = 3355443200000
2. Dividing exponents with the same base: 320a / 320b = 320(a-b)
Example: 3205 / 3202 = 3203 = 32768000