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Q.

The value of [(31)2]-1is


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a

9

b

-9

c

-0.1111

d

0.1111 

answer is D.

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Detailed Solution

We have to find the value of 312-1.
We know, (∵(am)n=amn) , where m and n are integers and a being any real number.
Also a-m=(1am) , where m is an integer and a being any real number.
Solving,
 312-1=1(31)2 ⇒312-1=132
⇒ 312-1=19
⇒ 312-1=0.1111 Therefore, the value of 312-1 =0.1111.
Hence, option 4 is correct.
 
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