Step 1 :Given the expression \(\frac{6 p^{-3} r^{6}}{q^{-9}}\).
Step 2 :We know that \(x^{-n} = \frac{1}{x^n}\).
Step 3 :So, we can rewrite the expression as \(\frac{6}{p^{3}} * r^{6} * q^{9}\).
Step 4 :This simplifies to \(\frac{6 q^{9} r^{6}}{p^{3}}\).
Step 5 :So, the final answer is \(\boxed{\frac{6 q^{9} r^{6}}{p^{3}}}\).