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Find the value of the following expression

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answer is B.

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Detailed Solution

We are given the equation as

Now we will use property of exponents to simplify denominator, we get

As the equation still can used easily, so now let us use property of exponents

to simplify denominator, we get
Question Image

Let us take LCM of

in denominator of first term,

in denominator of second term, and LCM of in denominator of third term. Thus we will get
Question Image

Rearranging and simplifying, taking denominators of denominators to the numerator, we get

Since denominators of all terms are same, so we can combine numerator to get

Now, as we can see that both numerator and denominator are the same, so by dividing them we can get the Ans as 1.
Hence, solving the given equation, we find that

So, the correct Ans is “Option 2”.

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