Let (x^1/2) x (x^-1/2), then find the correct answer.
- 0
- 1
- -1/4
- 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.
Related MCQs
