Question

evaluate [(1÷2)^-3 -(1÷2)^-1]^-2​

Answer 1

Solution:-

${( \: {( \frac{1}{2} )}^{ - 3} - { (\frac{1}{2}) }^{ - 1} \: ) }^{ - 2} \\ \\ {( \: \frac{1}{ ({2}^{ - 3} )} - \frac{1}{ ({2}^{ - 1}) } \: )}^{ - 2} \\ \\ { ( \: ({2}^{3}) - (2) \: ) }^{ - 2} \\ \\ {(8 - 2)}^{ - 2} \\ {(6)}^{ - 2} \\ \\ \frac{1}{ {6}^{2} } \\ \\ \frac{1}{36}$

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