[tex]( \sqrt{5} ) {}^{2} \times ( \sqrt{2} ) {}^{3} \div ( - 10( \sqrt{8} ) {}^{5} ) = 5 \times ( \sqrt{2} ) {}^{3} \div ( - 10 \times ( \sqrt{8} ) {}^{5} )[/tex]
[tex] = - \frac{5 \times ( \sqrt{2}) {}^{3} }{10 \times ( \sqrt{8} ) {}^{5} } = - \frac{1}{2 \times 2 {}^{6} } = - \frac{1}{2 {}^{7} } = - \frac{1}{128} [/tex]