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Q.

What could be the multiplicative inverse of the expression 10 10  ?


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a

10 10  

b

(−10) −10  

c

(10) −10  

d

(−10) 10    

answer is C.

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Detailed Solution

The given expression is 10 10 .  
We know that,
The multiplicative inverse of x    is 1 x .   The multiplicative inverse of x y   is y x .  
Therefore the multiplicative inverse of (10) 10    is 1 10 10 .   Apply the law of exponent a −m = 1 a m .   ⇒ 1 10 10 = 10 −10  
Thus, the multiplicative inverse of  10 10  is 10 −10 .  
Hence option (3) is correct.
 
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