Physics

Problem

Perform the conversions asked and then compute the required values. a. (i) Convert each radical to exponential form: (a)

\sqrt[5]{32}

(b)

\sqrt{49}

b. (ii) Convert each exponential expression to radical form: (a)

9^{3/2}

(b)

125^{2/3}

c. (iii) Evaluate all four expressions obtained in parts (i) and (ii) without using a calculator, and arrange the results in ascending order.