Assertion (A): (x^-1 - y^-1) × (x - y)^-1 = x^-1y^-1

Reason (R): For any non-zero number $x,\ x^{-1} = \dfrac{1}{x}$

1. A is true, R is false

2. A is false, R is true

3. Both A and R are true

4. Both A and R are false

Assertion (A): If we divide 3^-2 by 3⁴, we get 9³.

Reason (R): $\Big(\dfrac{x}{y}\Big)^{-m} = \dfrac{y^{-m}}{x^{-m}}$

1. A is true, R is false

2. A is false, R is true

3. Both A and R are true

4. Both A and R are false

On simplifying $\Big[5\Big(8^\dfrac{1}{3} + 27^\dfrac{1}{3}\Big)^{3}\Big]^{\dfrac{1}{4}}$, we get:

1. 5

2. $\sqrt{5}$

3. 10

4. 1

The value of 4.2 × 10^-15 + 42 × 10^-16 + 4.2 × 10^-14 is:

1. 5 × 10^-14

2. 5.4 × 10^-15

3. 5.04 × 10^-14

4. 5.04 × 10^-15