Question 1129049
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The two responses you have received before mine both give the right answer, after a lot of work.<br>
Expressions like this are simplified far more easily by multiplying numerator and denominator by an appropriate power of the variable to eliminate the negative exponents.<br>
{{{(x^(-3)-3x^(-4))/(3x^(-3)-9x^(-4))}}} =<br>
{{{x^4((x^(-3)-3x^(-4)))/x^4((3x^(-3)-9x^(-4)))}}} =<br>
{{{(x-3)/(3x-9)}}} =<br>
{{{(x-3)/(3(x-3))}}} =<br>
{{{1/3}}}