Mathematics

Problem

Evaluate the expression

E=\left(8\right)^{-\tfrac{2}{3}}\times\left(16\right)^{\tfrac{3}{4}}

. a. (i) Rewrite each power in radical form. b. (ii) Simplify each radical obtained in part (i) and hence calculate the numerical value of

E

. c. (iii) Express the final answer as a rational number in its lowest terms.