How do you simplify #(12x^4y)/(4x^3y^3)#?

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Answer 1 · 2015-12-22T07:00:04

#(12x^4y)/(4x^3y^3)=(3x)/y^2#

#(12x^4y)/(4x^3y^3)#

Simplify #12/4# to #3/1#.

#(3x^4y)/(x^3y^3)#

Apply exponent rule #a^m/a^n=a^(m-n)#.

#3x^(4-3)y^(1-3)#

#3x^1y^(-2)#

Apply rule of one #a^1=a#

#3xy^(-2)#

Apply negative exponent rule #a^(-m)=1/a^m#.

#3x*1/y^2#

Simplify.

#(3x)/y^2#