Step-by-step explanation:
[tex]( \frac{1}{2} ) {}^{2} \div ( \frac{2}{3}) ^{3} [/tex]
[tex]( \frac{1}{2}) ^{2} \times ( \frac{3}{2} ) ^{3} [/tex]
[tex] \frac{1}{4} \times \frac{27}{8} [/tex]
[tex] \frac{27}{32} [/tex]