274 to the Power of 3 = 274 3 = 20570824
Welcome to our exponent calculator! We're exploring the concept of "274 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, 274 is the base, and 3 is the exponent.
Calculation
To calculate 274 to the power of 3, we multiply 274 by itself 3 times. Here's the step-by-step process:
| Step | Calculation | Result |
|---|---|---|
| 1 | 274 | 274 |
| 2 | 274 × 274 | 75076 |
| 3 | 274 × 274 × 274 | 20570824 |
Solution: 274 to the power of 3 is equal to 20570824.
How to write 274 to the power of 3 ?
Step 1: Understand the Concept
"274 to the power of 3" means we're multiplying 274 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, 274 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 2743.
Step 4: Calculate the Result
If we actually compute this:
Practice
Try writing these on your own:
- 273 to the power of 2
- 275 to the power of 4
- 3 to the power of 274
Interactive Power Calculator
Similar Calculations:
| Number | Power | Answer |
|---|---|---|
| 275 | 3 | 2753 = 20796875 |
| 276 | 3 | 2763 = 21024576 |
| 277 | 3 | 2773 = 21253933 |
Related Mathematical Operations
Square Root
The square root is the inverse operation of squaring a number. For our example:
v21253933 ≈ 4,610.1988
This is approximate because 274^3 isn't a perfect square.
Logarithm
Logarithms are the inverse of exponential functions. The logarithm of 21253933 with base 274 should equal 3:
log274(21253933) = 3
Exponent Properties
1. Multiplying exponents with the same base: 274a * 274b = 274(a+b)
Example: 2742 * 2743 = 2745 = 1544375182624
2. Dividing exponents with the same base: 274a / 274b = 274(a-b)
Example: 2745 / 2742 = 2743 = 20570824