Question 201862
{{{((3x^2)/(4))((16)/(x^3))}}} Start with the given expression.



{{{(3x^2*16)/(4x^3)}}} Combine the fractions.



{{{(48x^2)/(4x^3)}}} Multiply



{{{(12*4*x^2)/(4x^3)}}} Factor the numerator



{{{(12*4*x^2)/(4x^2*x)}}} Factor the denominator



{{{(12*highlight(4)*highlight(x^2))/(highlight(4)*highlight(x^2)*x)}}} Highlight the common terms.



{{{(12*cross(4)*cross(x^2))/(cross(4)*cross(x^2)*x)}}} Cancel out the common terms.



{{{12/x}}} Simplify



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Answer:



So {{{((3x^2)/(4))((16)/(x^3))}}} simplifies to {{{12/x}}}



In other words, {{{((3x^2)/(4))*((16)/(x^3))=12/x}}} where {{{x<>0}}}