Q.

What is the value of 512 3 × 27 3  ?


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a

24

b

-24

c

25

d

-25 

answer is B.

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Detailed Solution

The given number is 512 3   ×  27 3  .
For any real number a, a 3 3 =a  .
Simplify the expression,
512 3   ×  27 3   2×2×2×2×2×2×2×2×2 3 × 3×3×3 3  
2 3 × 2 3 × 2 3 3 × (3) 3 3  
(2×2×2)×3 24  
Thus, -24 is the value of 512 3   ×  27 3  .
Therefore, option 2 is correct.
 
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