Evaluate the expression .

MATHEMATICS · Multi-part · CBSE · Mathematics · Number Systems · Number Systems

Problem

Evaluate the expression

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

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

E

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