How to take the log of both sides to implicitly derive a function

The video tutorial covers exponential examples, focusing on using logarithms to simplify differentiation. It explains the application of product and chain rules, followed by the power rule, to solve complex expressions. The session concludes with simplification techniques to achieve the final result.

What is the significance of applying the power rule in this context?

Describe the final simplification that leads to the result of 1 in the given example.