$$[ ( 5 ^ { - 1 } \times 3 ^ { - 1 } ) ^ { - 1 } ] \div 6 ^ { - 1 }$$
$90$
$$\frac{\left(\frac{1}{5}\times 3^{-1}\right)^{-1}}{6^{-1}}$$
$$\frac{\left(\frac{1}{5}\times \frac{1}{3}\right)^{-1}}{6^{-1}}$$
$$\frac{\left(\frac{1}{15}\right)^{-1}}{6^{-1}}$$
$$\frac{15}{6^{-1}}$$
$$\frac{15}{\frac{1}{6}}$$
$$15\times 6$$
$$90$$
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$2\times 3^{2}\times 5$