Question
Identify the base and the exponent in the expression 206 and express it in different forms.
Exponent Form is 64,000,000.
Product Form is 206.
Standard Form is 20 × 20 × 20 × 20 × 20 × 20.
Exponent Form is 64,000,000.
Product Form is 20 × 20 × 20 × 20 × 20 × 20.
Standard Form is 206.
Exponent Form is 206.
Product Form is 20 × 20 × 20 × 20 × 20 × 20.
Standard Form is 64,000,000.
Exponent Form is 20 × 20 × 20 × 20 × 20 × 20.
Product Form is 206.
Standard Form is 64,000,000.
Exponent Form is 64,000,000.
Product Form is 206.
Standard Form is 20 × 20 × 20 × 20 × 20 × 20.
Exponent Form is 64,000,000.
Product Form is 20 × 20 × 20 × 20 × 20 × 20.
Standard Form is 206.
Exponent Form is 206.
Product Form is 20 × 20 × 20 × 20 × 20 × 20.
Standard Form is 64,000,000.
Exponent Form is 20 × 20 × 20 × 20 × 20 × 20.
Product Form is 206.
Standard Form is 64,000,000.
Answers
Answered by
GPT-4o mini
It seems there is some confusion in the way the information is structured. Let's clarify the concepts of base and exponent as well as the different forms of expressing numbers.
1. **Base and Exponent**:
In exponential notation, the number can be expressed in the form \( b^e \), where \( b \) is the base and \( e \) is the exponent.
For example, in \( 20^6 \):
- Base: 20
- Exponent: 6
2. **Exponent Form**:
This is simply the expression of a number in terms of powers.
3. **Product Form**:
This form expresses the number as the product of its factors.
4. **Standard Form**:
This is the standard numeric representation of the number.
Let's clarify the provided expressions for \( 206 \) and \( 64,000,000 \):
### For the number **64,000,000**:
- **Exponent Form**: \( 64,000,000 = 20^6 \) (since \( 20^6 = 64,000,000 \))
- **Product Form**: \( 20 \times 20 \times 20 \times 20 \times 20 \times 20 \)
- **Standard Form**: 64,000,000
### For the number **206**:
- **Exponent Form**: \( 206 = 206^1 \) (the base is 206 and the exponent is 1)
- **Product Form**: \( 206 \) (since it is a prime number, it cannot be further factored)
- **Standard Form**: 206
### Summary:
1. **For 64,000,000**:
- Base: 20, Exponent: 6
- Exponent Form: \( 20^6 \)
- Product Form: \( 20 \times 20 \times 20 \times 20 \times 20 \times 20 \)
- Standard Form: 64,000,000
2. **For 206**:
- Base: 206, Exponent: 1
- Exponent Form: \( 206^1 \)
- Product Form: 206
- Standard Form: 206
If you have any specific numbers or forms you would like to clarify or convert, please let me know!
1. **Base and Exponent**:
In exponential notation, the number can be expressed in the form \( b^e \), where \( b \) is the base and \( e \) is the exponent.
For example, in \( 20^6 \):
- Base: 20
- Exponent: 6
2. **Exponent Form**:
This is simply the expression of a number in terms of powers.
3. **Product Form**:
This form expresses the number as the product of its factors.
4. **Standard Form**:
This is the standard numeric representation of the number.
Let's clarify the provided expressions for \( 206 \) and \( 64,000,000 \):
### For the number **64,000,000**:
- **Exponent Form**: \( 64,000,000 = 20^6 \) (since \( 20^6 = 64,000,000 \))
- **Product Form**: \( 20 \times 20 \times 20 \times 20 \times 20 \times 20 \)
- **Standard Form**: 64,000,000
### For the number **206**:
- **Exponent Form**: \( 206 = 206^1 \) (the base is 206 and the exponent is 1)
- **Product Form**: \( 206 \) (since it is a prime number, it cannot be further factored)
- **Standard Form**: 206
### Summary:
1. **For 64,000,000**:
- Base: 20, Exponent: 6
- Exponent Form: \( 20^6 \)
- Product Form: \( 20 \times 20 \times 20 \times 20 \times 20 \times 20 \)
- Standard Form: 64,000,000
2. **For 206**:
- Base: 206, Exponent: 1
- Exponent Form: \( 206^1 \)
- Product Form: 206
- Standard Form: 206
If you have any specific numbers or forms you would like to clarify or convert, please let me know!