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Q.

Which of the following is the value of the expression (3 5 −5 2 )(4 5 +3 2 )  ?


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a

20−11 10  

b

20+11 10  

c

30−11 10  

d

30+11 10   

answer is C.

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Detailed Solution

The given expression is,
(3 5 −5 2 )(4 5 +3 2 )  
Apply the following laws of exponents:
a × b = ab   a × a =a  
Therefore we have,
⇒(3 5 −5 2 )(4 5 +3 2 )=60+9 10 −20 10 −30  
⇒30−11 10   Therefore, the value of the expression (3 5 −5 2 )(4 5 +3 2 )=30−11 10 .  
Hence, option (3) is correct.
 
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