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Worksheet Worksheet 5

1.
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 \(x^n \cdot x^m \cdot x^p\text{.}\) Explain the logic of your result.
3.
Calculate \(\left( \left( x^n \right)^m \right)^p\text{.}\) Explain the logic of your result.