What is 24 to the Power of 8? 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 "24 to the power of 8." We'll break down the concept, explain the calculation method, and discuss the significance of this mathematical operation.
Answer: 24 to the Power of 8 is 110075314176
Step 1: Understanding Exponents
Step 2: The Calculation Process
Calculating 24^8 is straightforward. Follow these steps:
- Start with 24 to the power of 8.
- Multiply 1 by 24 to get 24.
- Multiply 24 by 24 to get 576.
- Multiply 576 by 24 to get 13824.
- Multiply 13824 by 24 to get 331776.
- Multiply 331776 by 24 to get 7962624.
- Multiply 7962624 by 24 to get 191102976.
- Multiply 191102976 by 24 to get 4586471424.
- Multiply 4586471424 by 24 to get 110075314176.
- The final result is 110075314176.
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 "24 to the power of 8" mean?
24 to the power of 8" (24^8) is a mathematical expression that signifies multiplying the base number, 24, by itself three times. It's equivalent to 24 x 24 x 24, which equals 110075314176.
How is "24 to the power of 8" calculated?
Calculating 24^8 is done by multiplying 24 by itself three times. So, 24^8 = 24 x 24 x 24, resulting in 110075314176.
Can I calculate "24 to the power of 8" with negative exponents?
Negative exponents indicate taking the reciprocal of the base raised to the positive exponent. For example, 24^(-8) is equivalent to 1 / (24^8), which is 1/110075314176.
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 |