What is 17 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 "17 to the power of 4." We'll break down the concept, explain the calculation method, and discuss the significance of this mathematical operation.
Answer: 17 to the Power of 4 is 83521
Step 1: Understanding Exponents
Step 2: The Calculation Process
Calculating 17^4 is straightforward. Follow these steps:
- Start with 17 to the power of 4.
- Multiply 1 by 17 to get 17.
- Multiply 17 by 17 to get 289.
- Multiply 289 by 17 to get 4913.
- Multiply 4913 by 17 to get 83521.
- The final result is 83521.
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 "17 to the power of 4" mean?
17 to the power of 4" (17^4) is a mathematical expression that signifies multiplying the base number, 17, by itself three times. It's equivalent to 17 x 17 x 17, which equals 83521.
How is "17 to the power of 4" calculated?
Calculating 17^4 is done by multiplying 17 by itself three times. So, 17^4 = 17 x 17 x 17, resulting in 83521.
Can I calculate "17 to the power of 4" with negative exponents?
Negative exponents indicate taking the reciprocal of the base raised to the positive exponent. For example, 17^(-4) is equivalent to 1 / (17^4), which is 1/83521.
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 |