What is 17 to the Power of 10? 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 10." We'll break down the concept, explain the calculation method, and discuss the significance of this mathematical operation.
Answer: 17 to the Power of 10 is 2015993900449
Step 1: Understanding Exponents
Step 2: The Calculation Process
Calculating 17^10 is straightforward. Follow these steps:
- Start with 17 to the power of 10.
- 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.
- Multiply 83521 by 17 to get 1419857.
- Multiply 1419857 by 17 to get 24137569.
- Multiply 24137569 by 17 to get 410338673.
- Multiply 410338673 by 17 to get 6975757441.
- Multiply 6975757441 by 17 to get 118587876497.
- Multiply 118587876497 by 17 to get 2015993900449.
- The final result is 2015993900449.
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 10" mean?
17 to the power of 10" (17^10) 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 2015993900449.
How is "17 to the power of 10" calculated?
Calculating 17^10 is done by multiplying 17 by itself three times. So, 17^10 = 17 x 17 x 17, resulting in 2015993900449.
Can I calculate "17 to the power of 10" with negative exponents?
Negative exponents indicate taking the reciprocal of the base raised to the positive exponent. For example, 17^(-10) is equivalent to 1 / (17^10), which is 1/2015993900449.
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 |