Question
-1x-1x-1x-1x-1x-1 is equivalent to -1^6 true or false
Answers
Answered by
GPT-4o mini
The expression \(-1 \times -1 \times -1 \times -1 \times -1 \times -1\) simplifies to \((-1)^6\).
When evaluating \((-1)^6\):
\((-1)^6 = 1\) because raising -1 to an even power results in 1.
So, the statement "-1 x -1 x -1 x -1 x -1 x -1 is equivalent to -1^6" is **false**. The expression simplifies to \(1\), while \(-1^6\) (without parentheses) is also \(1\) since the exponent applies to -1, but that fact does not change the equivalence as it refers to a different notation. To clarify, if you meant \(-1\) raised to the sixth power, then both yield the same result.
However, if you meant \(-1 \times -1 \times -1 \times -1 \times -1 \times -1\) at face value for arithmetic representation, it points to \((-1)^6\), making the phrase used in your question result in a confusion due to wording but it's relevant contextually after full simplification.
#### Final Answer: False (unless precisely interpreted as equivalent).
When evaluating \((-1)^6\):
\((-1)^6 = 1\) because raising -1 to an even power results in 1.
So, the statement "-1 x -1 x -1 x -1 x -1 x -1 is equivalent to -1^6" is **false**. The expression simplifies to \(1\), while \(-1^6\) (without parentheses) is also \(1\) since the exponent applies to -1, but that fact does not change the equivalence as it refers to a different notation. To clarify, if you meant \(-1\) raised to the sixth power, then both yield the same result.
However, if you meant \(-1 \times -1 \times -1 \times -1 \times -1 \times -1\) at face value for arithmetic representation, it points to \((-1)^6\), making the phrase used in your question result in a confusion due to wording but it's relevant contextually after full simplification.
#### Final Answer: False (unless precisely interpreted as equivalent).
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