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 2^x.3^y.5^z = 2160, find the values of x, y and z. Hence, compute the value of 3^x.2^-y.5^-z.

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

If x = a^{m + n}, y = a^{n + l} and z = a^{l + m}, prove that x^myⁿz^l = xⁿy^lz^m.