SOLUTION: What is -7 to the -4th power? Please explain how to solve this; I am completely confused. Thank you!

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: What is -7 to the -4th power? Please explain how to solve this; I am completely confused. Thank you!      Log On


   

Question 878113: What is -7 to the -4th power? Please explain how to solve this; I am completely confused. Thank you!
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
%28-7%29%5E-4
= %28-7%29%5E-4%2F1
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Multiply NUM and DEN by (-7)^4
= %28-7%29%5E-4%2A%28-7%29%5E4%2F%281%2A7%5E%284%29%29
= %28-7%29%5E0%2F7%5E4
= 1%2F7%5E4
= 1/2401
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I lost a minus sign along the way, but since it's an even power, it has no effect.