Question

evaluate:- {(-8)^-3 ÷ 2^8}^2​

Answer 1

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${({ - 8}^{ - 3} \div {2}^{8} )}^{2} \\ = {( { \frac{1}{ - 8} }^{3} \div {2}^{8} )}^{2} \\ = {( \frac{1}{ - 512} \div 256) }^{2} \\ = {( \frac{1}{ - 512} \times \frac{1}{256} ) }^{2} \\ = ({\frac{1}{-131,072}) }^{2}$

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