$$\frac{ { \left( \frac{ 1 }{ 343 } \right) }^{ - \frac{ 1 }{ 3 } } + { \left( \frac{ 1 }{ 8 } \right) }^{ - \frac{ 1 }{ 3 } } }{ \sqrt[ 3 ]{ 18 \sqrt{ 144 } } }$$
$\frac{3}{2}=1.5$
$$\frac{7+\left(\frac{1}{8}\right)^{-\frac{1}{3}}}{\sqrt[3]{18\sqrt{144}}}$$
$$\frac{7+2}{\sqrt[3]{18\sqrt{144}}}$$
$$\frac{9}{\sqrt[3]{18\sqrt{144}}}$$
$$\frac{9}{\sqrt[3]{18\times 12}}$$
$$\frac{9}{\sqrt[3]{216}}$$
$$\frac{9}{6}$$
$$\frac{3}{2}$$
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$\frac{3}{2} = 1\frac{1}{2} = 1.5$
