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Sticky Note
Let (x^1/2) x (x^-1/2), then find the correct answer.
  1. 0
  2. 1
  3. -1/4
  4. None of these
Explanation

Note: The answer given in the FPSC answer key is (a) but the actual answer is (b)

To simplify the expression (x^(1/2)) * (x^(-1/2)), we can use the rule of exponents:

x^a * x^b = x^(a+b)

Applying this rule, we get:

(x^(1/2)) * (x^(-1/2)) = x^(1/2 + (-1/2)) = x^0

Any number raised to the power of 0 is equal to 1.

Therefore, (x^(1/2)) * (x^(-1/2)) = 1.

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