[tex](2 \sqrt{3} ) {}^{3} \div ( \sqrt{2} ) {}^{4} = (2 \sqrt{3} ) {}^{3} \div 2 {}^{2} = \frac{(2 \sqrt{3} ) {}^{3} }{2 {}^{2} } = \frac{8 \times 3 \sqrt{3} }{2 {}^{2} } = \frac{2 {}^{3} \times 3 \sqrt{3} }{2 {}^{2} } = 2 \times 3 \sqrt{3} = 6 \sqrt{3} [/tex]
