What is 16 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 "16 to the power of 10." We'll break down the concept, explain the calculation method, and discuss the significance of this mathematical operation.
Answer: 16 to the Power of 10 is 1099511627776
Step 1: Understanding Exponents
Step 2: The Calculation Process
Calculating 16^10 is straightforward. Follow these steps:
- Start with 16 to the power of 10.
- Multiply 1 by 16 to get 16.
- Multiply 16 by 16 to get 256.
- Multiply 256 by 16 to get 4096.
- Multiply 4096 by 16 to get 65536.
- Multiply 65536 by 16 to get 1048576.
- Multiply 1048576 by 16 to get 16777216.
- Multiply 16777216 by 16 to get 268435456.
- Multiply 268435456 by 16 to get 4294967296.
- Multiply 4294967296 by 16 to get 68719476736.
- Multiply 68719476736 by 16 to get 1099511627776.
- The final result is 1099511627776.
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 "16 to the power of 10" mean?
16 to the power of 10" (16^10) is a mathematical expression that signifies multiplying the base number, 16, by itself three times. It's equivalent to 16 x 16 x 16, which equals 1099511627776.
How is "16 to the power of 10" calculated?
Calculating 16^10 is done by multiplying 16 by itself three times. So, 16^10 = 16 x 16 x 16, resulting in 1099511627776.
Can I calculate "16 to the power of 10" with negative exponents?
Negative exponents indicate taking the reciprocal of the base raised to the positive exponent. For example, 16^(-10) is equivalent to 1 / (16^10), which is 1/1099511627776.
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 |