Question 153857
{{{(x^4 - 5x^3)/7x^3}}} Start with the given expression.



{{{(x^4)/7x^3 - (5x^3)/7x^3}}} Break up the fraction



{{{(x^(4-3))/7 - (5x^(3-3))/7}}} Divide the variable terms by subtracting the exponents. So {{{x^4/x^3=x^(4-3)}}} and {{{x^3/x^3=x^(3-3)}}}



{{{(x^1)/7 - (5x^0)/7}}} Subtract



{{{(x)/7 - (5*1)/7}}} Simplify



{{{x/7 - 5/7}}} Multiply



{{{(x-5)/7}}} Combine the fractions



So {{{(x^4 - 5x^3)/(7x^3)=(x-5)/7}}} where {{{x<>0}}}