SOLUTION: Simplify each of thr following: ( remember exponents should be postive) 48x^4/6x^11

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Question 1041734: Simplify each of thr following: ( remember exponents should be postive)
48x^4/6x^11
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
%2848x%5E4%29%2F%286x%5E11%29
Factorize. Rules of Exponents.

%284%2A12%2Ax%5E4%29%2F%282%2A3%2Ax%5E11%29

8x%5E4%2Fx%5E11

8x%5E%284-11%29

8x%5E%28-7%29

8%2Fx%5E7

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You could simplify the expression given without "rules of exponents", and just use what you already learned about reducing fractions. Using rules of exponents just felt neater.

%284%2A12%2Ax%5E4%29%2F%282%2A3%2Ax%5E11%29

%282%2A2%2A2%2A2%2A3%2Ax%5E4%29%2F%282%2A3%2Ax%5E11%29

%282%2A2%2A2%2A2%2A3%2Ax%5E4%29%2F%282%2A3%2Ax%5E4%2Ax%5E7%29

%28cross%282%2A3%29%2A2%2A2%2A2%2Ax%5E4%29%2F%28cross%282%2A3%29%2Ax%5E4%2Ax%5E7%29

%282%2A2%2A2x%5E4%29%2F%28x%5E4%2Ax%5E7%29

%282%2A2%2A2cross%28x%5E4%29%29%2F%28cross%28x%5E4%29%2Ax%5E7%29

8%2Fx%5E7