Question

(3/4)ka square ×(2/3)ka cube ×1/2 simply and Express as a rational number

Answer 1

${ (\frac{3}{4} )}^{2} \times {( \frac{2}{3}) }^{3} \times \frac{1}{2} \\ \\ = \frac{ {3}^{2} \times {2}^{3} \times 1}{ {4}^{2} \times {3}^{3} \times 2} \\ \\ = \frac{ \cancel{ {3}^{2}} \times \cancel{ {2}^{3}} \times 1}{\cancel{ {4}^{2}}2 \times \cancel{ {3}^{3}} 3 \times 2} \\ \\ = \frac{1}{2 \times 3 \times 2} \\ \\ = \frac{1}{12}$