130 to the Power of 4 = 130 4 = 285610000
Welcome to our exponent calculator! We're exploring the concept of "130 to the power of 4". 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, 130 is the base, and 4 is the exponent.
Calculation
To calculate 130 to the power of 4, we multiply 130 by itself 4 times. Here's the step-by-step process:
| Step | Calculation | Result |
|---|---|---|
| 1 | 130 | 130 |
| 2 | 130 × 130 | 16900 |
| 3 | 130 × 130 × 130 | 2197000 |
| 4 | 130 × 130 × 130 × 130 | 285610000 |
Solution: 130 to the power of 4 is equal to 285610000.
How to write 130 to the power of 4 ?
Step 1: Understand the Concept
"130 to the power of 4" means we're multiplying 130 by itself 4 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, 130 is called the "base", and 4 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 1304.
Step 4: Calculate the Result
If we actually compute this:
Practice
Try writing these on your own:
- 129 to the power of 3
- 131 to the power of 5
- 4 to the power of 130
Interactive Power Calculator
Similar Calculations:
| Number | Power | Answer |
|---|---|---|
| 131 | 4 | 1314 = 294499921 |
| 132 | 4 | 1324 = 303595776 |
| 133 | 4 | 1334 = 312900721 |
| 130 | 3 | 1303 = 2197000 |
Related Mathematical Operations
Square Root
The square root is the inverse operation of squaring a number. For our example:
v2197000 ≈ 1,482.2281
This is approximate because 130^4 isn't a perfect square.
Logarithm
Logarithms are the inverse of exponential functions. The logarithm of 2197000 with base 130 should equal 4:
log130(2197000) = 4
Exponent Properties
1. Multiplying exponents with the same base: 130a * 130b = 130(a+b)
Example: 1302 * 1303 = 1305 = 37129300000
2. Dividing exponents with the same base: 130a / 130b = 130(a-b)
Example: 1305 / 1302 = 1303 = 2197000