A) 2
B) 0
C) 1
D) \[-1\]
Correct Answer: D
Solution :
\[\frac{{{\left( -\frac{1}{2} \right)}^{5}}}{{{\left( -\frac{1}{2} \right)}^{4}}}\div \frac{\left( -\frac{1}{8} \right)}{\left( -\frac{1}{4} \right)}\] \[={{\left( -\frac{1}{2} \right)}^{5-4}}\div \left[ {{\left( \frac{1}{2} \right)}^{3}}\times {{\left( \frac{1}{2} \right)}^{-2}} \right]={{\left( -\frac{1}{2} \right)}^{1}}\div {{\left( \frac{1}{2} \right)}^{1}}=-1\]
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