Integer powers in practice

The following exercises are solved in this step.

We invite you to try to solve them before watching the video.

In any case, you will find below a PDF file with the solutions.

Exercise 1.

Compare the numbers (dfrac{(-pi)^{-4}}{e^{-3}}) and (dfrac{(-e)^{-4}}{pi^{-3}}).

Ex 2. [Solved only in the PDF file]

Compute the domain and try to figure out the range of the functions [f(x)=x^{-2}quadtext{and}quad g(x)=x^{-3}.]