# Exponent Laws Related Homework Question

1. Sep 9, 2015

### pandamonium786

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. Sep 9, 2015

### LittleMrsMonkey

There is no value for which it is true.Try and prove it.

3. Sep 9, 2015

### pandamonium786

i understand that but could negative numbers like -1 work?

4. Sep 9, 2015

### LittleMrsMonkey

If you raise any negative to an even power(like -4) it gives something positive.

Last edited: Sep 9, 2015
5. Sep 9, 2015

### LittleMrsMonkey

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.

6. Sep 9, 2015

### pandamonium786

Thanks again :D

7. Sep 10, 2015

### HallsofIvy

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