Problem

Rewrite each of the following expressions in the indicated form and simplify wherever possible. a. (i) Convert

\sqrt[3]{27a^{6}b}

to exponential form and simplify the result. b. (ii) Convert

(16x^{8})^{\frac{3}{4}}

to radical form and simplify. c. (iii) If

k = 81^{\frac{1}{4}}

, express

k

in radical form and find its numerical value.