Assertion (A): (3^-7 ÷ 3^-10) x 3^-5 = $\dfrac{1}{9}$.

Reason (R): $\dfrac{1}{3^7} \times 3^{10} \times \dfrac{1}{3^5}$.

1. A is true, but R is false.

2. A is false, but R is true.

3. Both A and R are true, and R is the correct reason for A.

4. Both A and R are true, and R is the incorrect reason for A.

Assertion (A): (1³ + 2³ + 3³)$^\frac{1}{2}$ = x, then x = $\sqrt{1} + \sqrt{8} + \sqrt{27}$.

Reason (R): x = (1 + 8 + 27)$^\frac{1}{2} = 36^\frac{1}{2} = 6$

1. A is true, but R is false.

2. A is false, but R is true.

3. Both A and R are true, and R is the correct reason for A.

4. Both A and R are true, and R is the incorrect reason for A.

Evaluate :

$(64)^{\dfrac{2}{3}} - \sqrt[3]{125} - \dfrac{1}{2^{-5}} + (27)^{-\dfrac{2}{3}} \times \Big(\dfrac{25}{9}\Big)^{-\dfrac{1}{2}}$

Evaluate :

$\Big[\Big(-\dfrac{2}{3}\Big)^{-2}\Big]^3 \times \Big(\dfrac{1}{3}\Big)^{-4} \times 3^{-1} \times \dfrac{1}{6}$