What is 5 to the Power of 9? 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 "5 to the power of 9." We'll break down the concept, explain the calculation method, and discuss the significance of this mathematical operation.
Answer: 5 to the Power of 9 is 1953125
Step 1: Understanding Exponents
Step 2: The Calculation Process
Calculating 5^9 is straightforward. Follow these steps:
- Start with 5 to the power of 9.
- Multiply 1 by 5 to get 5.
- Multiply 5 by 5 to get 25.
- Multiply 25 by 5 to get 125.
- Multiply 125 by 5 to get 625.
- Multiply 625 by 5 to get 3125.
- Multiply 3125 by 5 to get 15625.
- Multiply 15625 by 5 to get 78125.
- Multiply 78125 by 5 to get 390625.
- Multiply 390625 by 5 to get 1953125.
- The final result is 1953125.
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 "5 to the power of 9" mean?
5 to the power of 9" (5^9) is a mathematical expression that signifies multiplying the base number, 5, by itself three times. It's equivalent to 5 x 5 x 5, which equals 1953125.
How is "5 to the power of 9" calculated?
Calculating 5^9 is done by multiplying 5 by itself three times. So, 5^9 = 5 x 5 x 5, resulting in 1953125.
Can I calculate "5 to the power of 9" with negative exponents?
Negative exponents indicate taking the reciprocal of the base raised to the positive exponent. For example, 5^(-9) is equivalent to 1 / (5^9), which is 1/1953125.
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 |
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