The first step for solving this problem is to reduce the fraction with [tex] q^{-6} [/tex]. [tex] \frac{15p^{-4} }{-20^{12} q^{3} } [/tex] Determine the sign of the fraction. [tex] -\frac{15p^{-4} }{20^{12} q^{3} } [/tex] Now if a negative exponent is in the numerator,, then you must move the expression to the denominator and then make the exponent positive. This will change the expression to the following: [tex]- \frac{15}{ 20^{12} q^{3} p^{4} } [/tex] Lastly,, use the commutative property to reorder the terms on the bottom of the fraction. [tex]- \frac{15}{ 20^{12} p^{4} q^{3} } [/tex] Since we cannot simplify this expression any further,, the correct answer to this question is [tex]- \frac{15}{ 20^{12} p^{4} q^{3} } [/tex]. Let me know if you have any further questions. :)