Calculate \(\left( x^{3} \right)^{-4}\) using a presentation that shows all of the individual steps. Then verify that the power rule gives the same result. Give your final answer in the form \(x^n\) for some number \(n\text{.}\)
2.
Calculate \(\left( x^{2m} \right)^{3n}\) using the power rule. Explain the logic of your result in complete sentences.
3.
Calculate \(x^{4} \cdot x^{-4}\) using a presentation that shows all of the individual steps. Then verify that the product rule gives the same result.
