Roots and radicals 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.

Find all the values of (a in mathbb R) for which the following expression makes sense and then simplify it: [left(sqrt[8]{a^4}right)^2]

Exercise 2.

Find all the values of (a in mathbb R) for which the following expression makes sense and then simplify it: [left(sqrt[3]{a}right)^{-1}sqrt[6]{a^9}]

Ex 3. [Solved only in the PDF file]

Sketch the graph of the function (f:xmapstosqrt[3]x).