# SOLUTION: please reduce the fraction. (-20)(t^5)(u^2)(v^3) / (48)(t^7)(u^4)(v) thank you!!

Algebra ->  Algebra  -> Exponents-negative-and-fractional -> SOLUTION: please reduce the fraction. (-20)(t^5)(u^2)(v^3) / (48)(t^7)(u^4)(v) thank you!!      Log On

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

 Question 7252: please reduce the fraction. (-20)(t^5)(u^2)(v^3) / (48)(t^7)(u^4)(v) thank you!!Answer by smik(40)   (Show Source): You can put this solution on YOUR website!Good question! (-20)(t^5)(u^2)(v^3) / (48)(t^7)(u^4)(v) considering its the division of these variables, we subtract the power of the variable in the numerator, by the power of the same variable in the denominator. E.g. So: t^5 / t^7 = t^(-2). Furthermore both -20 and 48 are divisible by 4, giving us -5 and 12 respectively. Therefore the above comes down to: (-5)(t^-2)(u^-2)(v^2) / (12) Now the final step is to shift all the negative exponents in the numerator down to the denominator. E.g. 9^-2 = 1/(9^2). So we get (as a final answer): (-5)(v^2) / (12)(t^2)(u^2)