Simplify.
\[
\frac{6 p^{-3} r^{6}}{q^{-9}}
\]

Select one:
a. $\frac{6 q^{9}}{p^{3} r^{6}}$
b. $\frac{6 q^{9} r^{6}}{p^{3}}$
c. $\frac{6 p^{3} r^{6}}{q^{9}}$
d. $6 p^{3} r^{6} q^{9}$

Answer

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Answer

So, the final answer is $\boxed{\frac{6 q^{9} r^{6}}{p^{3}}}$.

Steps

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 $\boxed{\frac{6 q^{9} r^{6}}{p^{3}}}$.