Compute the following values (if they exist within the real numbers):
[math]\left(-2\right)^2=[/math]
On the coordinate plane below, move the green slider to change the index [math]n[/math] of the radical function [math]f\left(x\right)=\sqrt[n]{x}=x^{\frac{1}{n}}[/math]. [br][br]After exploring a few different values of the index [math]n[/math] , answer the questions below.
What is the difference between radical functions with even indices and radical functions with odd indices? Why do you think this is the case?