# SOLUTION: I need help with this ....please!!!! (5^-1+x^-1)/(x^2-25^-1)

Algebra ->  Algebra  -> Exponents-negative-and-fractional -> SOLUTION: I need help with this ....please!!!! (5^-1+x^-1)/(x^2-25^-1)      Log On

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 Algebra: Negative and Fractional exponents Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Exponents-negative-and-fractional Question 35504: I need help with this ....please!!!! (5^-1+x^-1)/(x^2-25^-1)Found 2 solutions by Nate, Prithwis:Answer by Nate(3500)   (Show Source): You can put this solution on YOUR website!(5^-1+x^-1)/(x^2-25^-1) (5+x)^-1/(x^2-25^-1) 1/((5+x)(x^2-(1/25))) 1/(x^3-(x/25)+5x^2-(1/5)) Answer by Prithwis(166)   (Show Source): You can put this solution on YOUR website!(5^-1+x^-1)/(x^2-25^-1) = (1/5 + 1/x)/[(x^2 - (1/5)^2] = [(x+5)/5x]/[(x+1/5)(x-1/5)] = (x+5)/[(5x){(5x+1)/5}{(5x-1)/5}] = 25(x+5)/5x(5x+1)(5x-1) = 5(x+5)/x(x+1)(x-1) The question may have been copied incorrectly from the book. The question makes better sense if "x^2" in the denominator is wanted as "x^-2".