Assertion (A): If x = 9 and y = 2, then x^y = y^x.

Reason (R): a^-n = $\Big(\dfrac{1}{a}\Big)^n$ when a is a real positive number and n is a rational number.

1. Assertion (A) is true, Reason (R) is false.

2. Assertion (A) is false, Reason (R) is true.

3. Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason for Assertion (A).

4. Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct reason (or explanation) for Assertion (A).

Assertion (A): If 3^x = $9\sqrt{3}$, then x = $\dfrac{5}{2}$.

Reason (R): If a is a real positive number and n is positive integer then $\sqrt[n]{a}$ is also written as $a^\frac{1}{n}$.

1. Assertion (A) is true, Reason (R) is false.

2. Assertion (A) is false, Reason (R) is true.

3. Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason for Assertion (A).

4. Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct reason (or explanation) for Assertion (A).

If x = 2 and y = -3, find the values of

(i) x^x + y^y

(ii) x^y + y^x

If p = x^{m + n}.y^l, q = x^{n + l}.y^m and r = x^{l + m}.yⁿ, prove that

p^{m - n}.q^{n - l}.r^{l - m} = 1