Simplify the following expression completely

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Simplify the following expression completely, leaving no negative or fractional exponents in the final answer: (a) Evaluate

(3\sqrt{2})^{4}

. (b) Evaluate

(6\sqrt{2})^{3}

. (c) Hence, simplify the quotient

\frac{(3\sqrt{2})^{4}\times 6^{2}}{(6\sqrt{2})^{3}}.