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Q.



What is the simplified form of the expression, Question Image


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a

9

b

5

c

19

d

7  

answer is A.

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Detailed Solution

We have been provided to simplify the expression, Question Image. Let us assume its simplified value as ‘E’.
Question Image
We have,Question Image------(i)
Here, we know that in exponential form 27 can be written as Question Image. So, mathematically,
Question Image 
Therefore, substituting the value of Question Imagein expression (i), we get,
Question Image
We know that one of the property of exponents are: - Question Image, therefore apply this formula, we have,
Question Image
Cancelling 3 in the numerator with 3 in the denominator, we get,
Question Image
Hence, the value of the simplified expression is 9.
So, the correct Ans is “Option 1”.
 
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