Okay, I will attempt to simplify the expression of \((p^{-6p^2})^{-3}\) with only positive exponents:
| \((p^{-6p^2})^{-3}\) | Use the exponent rule that \(a^{-b}=\frac{1}{a^b}\) |
| \(\frac{1}{(p^{-6p^2})^3}\) | Use the exponent rule that states that \((a{^b})^c=a^{b*c}\). |
| \(\frac{1}{p^{-6p^2*3}}\) | Combine like terms in the exponent. |
| \(\frac{1}{p^{-18p^2}}\) | This expression is simplified as much as possible. |