(Solved): Problem 2.2: Discovering Roots Complex numbers expose all the roots of real (and complex) numbers. ...

Problem 2.2: Discovering Roots Complex numbers expose all the roots of real (and complex) numbers. For example, there should be two square-roots, three cube-roots, etc. of any number. Find the following roots. 1. What are the cube-roots of 27 ? In other words, what is ? $$27^{\frac{1}{3}}$$ 2. What are the fifth roots of $$3\left(3^{\frac{1}{5}}\right)$$ 3. What are the fourth roots of one? Problem 2.3: Cool Exponentials Simplify the following (cool) expressions. 1. 2. 3.