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Q.

Cube of − 1 2  is


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a

1 8  

b

1 16  

c

−1 8  

d

−1 16   

answer is C.

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Detailed Solution

It is given − 1 2  .
Cube of − 1 2 = − 1 2 3   Using the exponent law,open parentheses a over b close parentheses to the power of m equals a to the power of m over b to the power of m we get
Cube of − 1 2 = (−1) 3 (2) 3   Expand the above expression
⇒ (−1)×(−1)×(−1) 2×2×2  
⇒ −1 8  
Hence option (3) is correct.
 
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