What is 12 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 "12 to the power of 10." We'll break down the concept, explain the calculation method, and discuss the significance of this mathematical operation.
Answer: 12 to the Power of 10 is 61917364224
Step 1: Understanding Exponents
Step 2: The Calculation Process
Calculating 12^10 is straightforward. Follow these steps:
- Start with 12 to the power of 10.
- Multiply 1 by 12 to get 12.
- Multiply 12 by 12 to get 144.
- Multiply 144 by 12 to get 1728.
- Multiply 1728 by 12 to get 20736.
- Multiply 20736 by 12 to get 248832.
- Multiply 248832 by 12 to get 2985984.
- Multiply 2985984 by 12 to get 35831808.
- Multiply 35831808 by 12 to get 429981696.
- Multiply 429981696 by 12 to get 5159780352.
- Multiply 5159780352 by 12 to get 61917364224.
- The final result is 61917364224.
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 "12 to the power of 10" mean?
12 to the power of 10" (12^10) is a mathematical expression that signifies multiplying the base number, 12, by itself three times. It's equivalent to 12 x 12 x 12, which equals 61917364224.
How is "12 to the power of 10" calculated?
Calculating 12^10 is done by multiplying 12 by itself three times. So, 12^10 = 12 x 12 x 12, resulting in 61917364224.
Can I calculate "12 to the power of 10" with negative exponents?
Negative exponents indicate taking the reciprocal of the base raised to the positive exponent. For example, 12^(-10) is equivalent to 1 / (12^10), which is 1/61917364224.
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 |