SOLUTION: I'm to solve for x. The equation is x^-1/7=1/4. How do I get rid of the -1/7 exponent?

Algebra ->  Exponents -> SOLUTION: I'm to solve for x. The equation is x^-1/7=1/4. How do I get rid of the -1/7 exponent?      Log On


   

Question 470425: I'm to solve for x. The equation is x^-1/7=1/4. How do I get rid of the -1/7 exponent?
Answer by sofiyac(983) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E%28-1%2F7%29=1%2F4
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1%2F%28x%5E%281%2F7%29%29=1%2F4 move exponent to bottom, it becomes positive
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%281%2F%28x%5E%281%2F7%29%29%29%5E7=%281%2F4%29%5E7 take each side to 7th power
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1%2Fx=1%2F16384 cross multiply
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x=16384