How do you divide #144x ^ { 12} \div 12x ^ { 3}#?

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Answer 1 · 2017-03-04T02:10:24

First, rewrite the expression as:

#(144x^12)/(12x^3)#

Next, simplify the coefficients:

#(12x^12)/x^3#

Now, use this rule of exponents to complete the division:

#x^color(red)(a)/x^color(blue)(b) = x^(color(red)(a)-color(blue)(b))#

#(12x^color(red)(12))/x^colro(blue)(3) = 12x^(color(red)(12)-color(blue)(3)) = 12x^9#