Exponent Laws Related Homework Question

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Homework Help Overview

The discussion revolves around an equation involving exponent laws, specifically examining the equation -x^ -4 = (-x)^ -4 and determining for which non-zero value of x it holds true.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the validity of the equation for various values of x, particularly questioning the role of negative numbers. Some suggest proving that no value satisfies the equation, while others express confusion about the implications of their understanding.

Discussion Status

There is an ongoing exploration of the equation's validity, with some participants asserting that no solution exists and attempting to simplify the equation to demonstrate this. Others are questioning the reasoning behind the conclusions drawn, indicating a mix of understanding and uncertainty.

Contextual Notes

Participants are discussing the implications of exponent laws, particularly with respect to negative bases raised to even powers, and how these relate to the original equation. There is a noted tension between understanding the problem and questioning the assumptions made about potential solutions.

pandamonium786
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Homework Statement


For which non-zero value of x is the equation -x^ -4 = (-x)^ -4 true? Explain.

Homework Equations


None. Other than applicable exponent laws.

The Attempt at a Solution


I know how to use the guess and check method. But I was wondering how to reach the answer faster and how to solve this problem.
 
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There is no value for which it is true.Try and prove it.
 
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LittleMrsMonkey said:
There is no value for which it is true.Try and prove it.

i understand that but could negative numbers like -1 work?
 
If you raise any negative to an even power(like -4) it gives something positive.
 
Last edited:
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Try to simplify the equation,you will get to -1=1,which of course isn't true.So the equation isn't true for any x.
 
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LittleMrsMonkey said:
Try to simplify the equation,you will get to -1=1,which of course isn't true.So the equation isn't true for any x.

Thanks again :D
 
pandamonium786 said:
i understand that but could negative numbers like -1 work?
How can you possibly say "I understand" that no value works and then ask if a negative value works?
 

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