275 to the Power of 3 = 275 3 = 20796875
Welcome to our exponent calculator! We're exploring the concept of "275 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, 275 is the base, and 3 is the exponent.
Calculation
To calculate 275 to the power of 3, we multiply 275 by itself 3 times. Here's the step-by-step process:
| Step | Calculation | Result |
|---|---|---|
| 1 | 275 | 275 |
| 2 | 275 × 275 | 75625 |
| 3 | 275 × 275 × 275 | 20796875 |
Solution: 275 to the power of 3 is equal to 20796875.
How to write 275 to the power of 3 ?
Step 1: Understand the Concept
"275 to the power of 3" means we're multiplying 275 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, 275 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 2753.
Step 4: Calculate the Result
If we actually compute this:
Practice
Try writing these on your own:
- 274 to the power of 2
- 276 to the power of 4
- 3 to the power of 275
Interactive Power Calculator
Similar Calculations:
| Number | Power | Answer |
|---|---|---|
| 276 | 3 | 2763 = 21024576 |
| 277 | 3 | 2773 = 21253933 |
| 278 | 3 | 2783 = 21484952 |
Related Mathematical Operations
Square Root
The square root is the inverse operation of squaring a number. For our example:
v21484952 ≈ 4,635.1863
This is approximate because 275^3 isn't a perfect square.
Logarithm
Logarithms are the inverse of exponential functions. The logarithm of 21484952 with base 275 should equal 3:
log275(21484952) = 3
Exponent Properties
1. Multiplying exponents with the same base: 275a * 275b = 275(a+b)
Example: 2752 * 2753 = 2755 = 1572763671875
2. Dividing exponents with the same base: 275a / 275b = 275(a-b)
Example: 2755 / 2752 = 2753 = 20796875