Question 86537
{{{(2/x^6)/(4/x^2)}}}


{{{(2/x^6)*(x^2/4)}}} Flip the 2nd fraction and multiply



{{{(2x^2/4x^6)}}} Multiply


When you divide common bases with exponents, you subtract the exponents



{{{2x^(2-6)/4}}}  Subtract the exponents (note: this eliminates the variables and exponents in the denominator)


{{{2x^-4/4}}}


Reduce {{{2/4}}} to {{{1/2}}}


{{{x^-4/2}}}


Now flip the negative exponent


{{{1/2x^4}}}