What is 15 to the Power of 4? Step-by-Step Calculation
Understanding exponentiation, or raising a number to a certain power, is a fundamental concept in mathematics. In this guide, we will explore the step-by-step calculation process for the expression "15 to the power of 4." We'll break down the concept, explain the calculation method, and discuss the significance of this mathematical operation.
Answer: 15 to the Power of 4 is 50625
Step 1: Understanding Exponents
Step 2: The Calculation Process
Calculating 15^4 is straightforward. Follow these steps:
- Start with 15 to the power of 4.
- Multiply 1 by 15 to get 15.
- Multiply 15 by 15 to get 225.
- Multiply 225 by 15 to get 3375.
- Multiply 3375 by 15 to get 50625.
- The final result is 50625.
Step 3: Practical Applications
In science and engineering, exponentiation is used to represent quantities like distances, areas, and volumes.
In computer science, it's crucial for understanding data storage capacities and memory sizes.
In finance, it plays a role in compound interest calculations and investment growth projections.
In everyday life, it's applicable when dealing with measurements and large quantities
Frequently Asked Questions
What does "15 to the power of 4" mean?
15 to the power of 4" (15^4) is a mathematical expression that signifies multiplying the base number, 15, by itself three times. It's equivalent to 15 x 15 x 15, which equals 50625.
How is "15 to the power of 4" calculated?
Calculating 15^4 is done by multiplying 15 by itself three times. So, 15^4 = 15 x 15 x 15, resulting in 50625.
Can I calculate "15 to the power of 4" with negative exponents?
Negative exponents indicate taking the reciprocal of the base raised to the positive exponent. For example, 15^(-4) is equivalent to 1 / (15^4), which is 1/50625.
Important results
| 1-10^2 | Result |
|---|---|
| 1^2 | 1 |
| 2^2 | 4 |
| 3^2 | 9 |
| 4^2 | 16 |
| 5^2 | 25 |
| 6^2 | 36 |
| 7^2 | 49 |
| 8^2 | 64 |
| 9^2 | 81 |
| 10^2 | 100 |
| 1-10^3 | Result |
|---|---|
| 1^3 | 1 |
| 2^3 | 8 |
| 3^3 | 27 |
| 4^3 | 64 |
| 5^3 | 125 |
| 6^3 | 216 |
| 7^3 | 343 |
| 8^3 | 512 |
| 9^3 | 729 |
| 10^3 | 1000 |
| 1-10^4 | Result |
|---|---|
| 1^4 | 1 |
| 2^4 | 16 |
| 3^4 | 81 |
| 4^4 | 256 |
| 5^4 | 625 |
| 6^4 | 1296 |
| 7^4 | 2401 |
| 8^4 | 4096 |
| 9^4 | 6561 |
| 10^4 | 10000 |
| 1-10^5 | Result |
|---|---|
| 1^5 | 1 |
| 2^5 | 32 |
| 3^5 | 243 |
| 4^5 | 1024 |
| 5^5 | 3125 |
| 6^5 | 7776 |
| 7^5 | 16807 |
| 8^5 | 32768 |
| 9^5 | 59049 |
| 10^5 | 100000 |