[tex] \frac{ {x}^{4} \div {x}^{0} + {x}^{4} }{( \sqrt{x})^{2} } = \frac{ (\sqrt[3]{27}) ^{4} \div ( \sqrt[3]{27})^{0} + ( \sqrt[ 3]{27} ) ^{4} }{( \sqrt{ \sqrt[3]{27} } )^{2} } = ( {3}^{4} \div {3}^{0} + {3}^{4} ) \div ( \sqrt{3} )^{2} = ( {3}^{4} + {3}^{4} ) \div 3 = (81 \times 2) \div 3 = 162 \div 3 = 54[/tex]
[tex] \frac{ \sqrt{4} \times \sqrt[3]{1000} }{ \sqrt{25} } + ( \frac{ \sqrt[3]{27} }{6} ) ^{2} = \frac{2 \times 10}{5} + ( \frac{3}{6} )^{2} = 4 + \frac{9}{36} = 4 \frac{1}{4} [/tex]
