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Q.

Which of the following is the value of (256) 0.16 × (256) 0.09  ?


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a

2

b

4

c

5

d

6 

answer is B.

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Detailed Solution

The given expression is,
(256) 0.16 × (256) 0.09  
⇒ (256) 16 100 × (256) 9 100  
Apply the following law of exponent:
(a) m. (a) n = a m+n  
Therefore we have,
⇒ (256) 16 100 + 9 100   ⇒ (256) 25 100   ⇒ ( 4 4 ) 1 4                ∵256= 4 4 ⇒4   Therefore the value of (256) 0.16 × (256) 0.09   is 4.
Hence option (2) is correct.
 
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