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Q.

When 15 15  is divided by 3 3 ,    the quotient is:


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a

5 5  

b

5  

c

5  

d

8 5   

answer is A.

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Detailed Solution

Given that, 15 15  is divided by 3 3  .
We can write the given numbers as,
15 15 =(15) 1 ×(15) 1 2 =(15) 1+ 1 2      ∵ x m × x n = x m+n =(15) 3 2  
Also,
3 3 =(3) 1 ×(3) 1 2 =(3) 3 2      ∵ x m × x n = x m+n  
Now, divide (15) 3 2 ÷ (3) 3 2  
We know that if the Power value are equal for two integers, then the two integers are combined with only one power value.
  m x n x = m n x  
We get,
⇒ 15 3 3 2 ⇒ (5) 3 2 ⇒ 125 ⇒5 5  .
The quotient is 5 5  .
Therefore, the correct answer is 1.
 
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