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| 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)
 
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