The square of 1/3 is 1/9. This can be proven using the following steps:
- Start with the expression 1/3.
- Multiply the numerator and denominator by 1/3.
- This gives you the expression 1/3 * 1/3.
- Multiply the numerators and denominators.
- This gives you the expression 1/9.
Therefore, 1/3 squared is 1/9.
Applications of 1/3 Squared
1/3 squared has a number of applications in mathematics and science. For example, it is used in the following areas:
- Geometry: 1/3 squared is the area of a circle with a radius of 1/3.
- Physics: 1/3 squared is the acceleration due to gravity on Mars.
- Engineering: 1/3 squared is used in the design of bridges and other structures.
Benefits of 1/3 Squared
1/3 squared has a number of benefits, including the following:
- It is a simple and easy-to-understand concept.
- It has a wide range of applications.
- It can be used to solve a variety of problems.
FAQs
1. What is the square root of 1/3 squared?
The square root of 1/3 squared is 1/3.
2. What is the cube of 1/3 squared?
The cube of 1/3 squared is 1/27.
3. What is the fourth power of 1/3 squared?
The fourth power of 1/3 squared is 1/81.
4. What is the nth power of 1/3 squared?
The nth power of 1/3 squared is 1/3^(2n).
5. What is the inverse of 1/3 squared?
The inverse of 1/3 squared is 9.
6. What is the reciprocal of 1/3 squared?
The reciprocal of 1/3 squared is 1/9.
7. Can you explain why 1/3 squared is so important?
1/3 squared is an important concept in mathematics and science. It has a wide range of applications, and it can be used to solve a variety of problems. It is a simple and easy-to-understand concept that can be used by people of all ages.
8. I am a student and I am learning about 1/3 squared. Do you have any tips for me?
Here are a few tips for students learning about 1/3 squared:
* Start by understanding the basics of fractions and decimals.
* Make sure you can multiply and divide fractions and decimals correctly.
* Practice solving problems involving 1/3 squared.
* Use a calculator to check your answers.
Tables
Table 1: Powers of 1/3 Squared
| n | 1/3^(2n) |
|---|---|
| 1 | 1/9 |
| 2 | 1/81 |
| 3 | 1/729 |
| 4 | 1/6561 |
| 5 | 1/59049 |
Table 2: Applications of 1/3 Squared
| Area | Formula |
|---|---|
| Circle with radius r | πr^2/9 |
| Sphere with radius r | (4/3)Ï€r^3/9 |
| Cone with radius r and height h | (1/3)Ï€r^2h/9 |
| Pyramid with square base of side length s and height h | (1/9)s^2h |
Table 3: Benefits of 1/3 Squared
| Benefit | Description |
|---|---|
| Simple and easy-to-understand | Can be explained to people of all ages |
| Wide range of applications | Used in mathematics, science, and engineering |
| Can be used to solve a variety of problems | From basic geometry problems to complex physics problems |
Table 4: FAQs about 1/3 Squared
| Question | Answer |
|---|---|
| What is the square root of 1/3 squared? | 1/3 |
| What is the cube of 1/3 squared? | 1/27 |
| What is the fourth power of 1/3 squared? | 1/81 |
| What is the nth power of 1/3 squared? | 1/3^(2n) |
| What is the inverse of 1/3 squared? | 9 |
| What is the reciprocal of 1/3 squared? | 1/9 |
| Why is 1/3 squared so important? | It has a wide range of applications and can be used to solve a variety of problems |
| Do you have any tips for students learning about 1/3 squared? | Start by understanding the basics of fractions and decimals, make sure you can multiply and divide fractions and decimals correctly, practice solving problems involving 1/3 squared, and use a calculator to check your answers |
