Answer
$\frac{36}{p^{12}}$
Work Step by Step
We are given the expression $(\frac{6p^{6}}{p^{12}})^{2}$.
First, we can use the power rule to simplify.
$(\frac{6p^{6}}{p^{12}})^{2}=\frac{(6p^{6})^{2}}{(p^{12})^{2}}=\frac{6^{2}p^{6\times2}}{p^{12\times2}}=\frac{36p^{12}}{p^{24}}$
Next, we can use the quotient rule.
$36\times(p^{12-24})=36p^{-12}=\frac{36}{p^{12}}$
