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Homework Help: Exponent Laws Related Homework Question

  1. Sep 9, 2015 #1
    1. The problem statement, all variables and given/known data
    For which non-zero value of x is the equation -x^ -4 = (-x)^ -4 true? Explain.

    2. Relevant equations
    None. Other than applicable exponent laws.

    3. 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.
     
  2. jcsd
  3. Sep 9, 2015 #2
    There is no value for which it is true.Try and prove it.
     
  4. Sep 9, 2015 #3
    i understand that but could negative numbers like -1 work?
     
  5. Sep 9, 2015 #4
    If you raise any negative to an even power(like -4) it gives something positive.
     
    Last edited: Sep 9, 2015
  6. Sep 9, 2015 #5
    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.
     
  7. Sep 9, 2015 #6
    Thanks again :D
     
  8. Sep 10, 2015 #7

    HallsofIvy

    User Avatar
    Science Advisor

    How can you possibly say "I understand" that no value works and then ask if a negative value works?
     
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