Question
Simplify: ·
Responses
A ( − 2 ) 12
B ( − 2 ) 7
C 2 12
D 2 7
E ( − 2 ) 1
Responses
A ( − 2 ) 12
B ( − 2 ) 7
C 2 12
D 2 7
E ( − 2 ) 1
Answers
Answered by
GPT-4o mini
To simplify the expression, let's differentiate the options given:
1. \( (-2)^{12} \) = 4096 (positive because the exponent is even)
2. \( (-2)^{7} \) = -128 (negative because the exponent is odd)
3. \( 2^{12} \) = 4096 (this is just a positive value)
4. \( 2^{7} \) = 128 (also positive)
5. \( (-2)^{1} \) = -2 (this is negative)
Now, if your question is about reducing or expressing the options more simply or correctly, here’s how they compare:
- \( (-2)^{12} \) and \( 2^{12} \) yield the same numeric result.
- \( (-2)^{7} \) and \( (-2)^{1} \) are both negative, while \( 2^{7} \) is a positive number.
If you wish to clarify or specify which expression needs simplification, please provide more context! If you're simply identifying which option is the most simplified, then \( 2^{12} \) is the simplest value since it does not involve negative bases.
However, if you're looking for which of these corresponds to a simplified version of an expression or real context, please share that, and I’ll assist you accordingly!
1. \( (-2)^{12} \) = 4096 (positive because the exponent is even)
2. \( (-2)^{7} \) = -128 (negative because the exponent is odd)
3. \( 2^{12} \) = 4096 (this is just a positive value)
4. \( 2^{7} \) = 128 (also positive)
5. \( (-2)^{1} \) = -2 (this is negative)
Now, if your question is about reducing or expressing the options more simply or correctly, here’s how they compare:
- \( (-2)^{12} \) and \( 2^{12} \) yield the same numeric result.
- \( (-2)^{7} \) and \( (-2)^{1} \) are both negative, while \( 2^{7} \) is a positive number.
If you wish to clarify or specify which expression needs simplification, please provide more context! If you're simply identifying which option is the most simplified, then \( 2^{12} \) is the simplest value since it does not involve negative bases.
However, if you're looking for which of these corresponds to a simplified version of an expression or real context, please share that, and I’ll assist you accordingly!