Question

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Answer 1

$((61 \times {64}^{ - 1} - {8}^{ - 2} ) ^{ - 1} \div \frac{2}{15} )^{ - 1} = (( \frac{61}{64} - \frac{ 1 }{ {8}^{2} } ) ^{ - 1} \div \frac{2}{15} ) ^{ - 1} = (( \frac{61 - 1}{64} ) ^{ - 1} \div \frac{2}{15} ) ^{ - 1} = ( \frac{64}{60} \div \frac{2}{15} ) ^{ - 1} = {( \frac{64 \times 15}{60 \times 2} )}^{ - 1} = {( \frac{32}{4}) }^{ - 1} = {8}^{ - 1} = \frac{1}{8}$