G = 6.67 × 10^–11 N m² (kg)^–2 =.... (cm)³ s^–2 g^–1.

Here the value of a constant ‘G’ is given. We have to express it given unit.

Note: ‘G’ is known as Universal Gravitational Constant. Its value is constant all over the universe.

G = 6.67 × 10^-11 Nm²kg^-2

Where, N = Newton

m = metre

Kg = Kilogram

‘N’ can be rewritten as

N = kg × ms^-2

Substitute this value in ‘G’

G = 6.67 × 10^-11 Nm²kg^-2

= 6.67 × 10^-11 kg × ms^-2 × kg^-2

= 6.67 × 10^-11 kg^-1 m³ s^-2

= 6.67 × 10^-11 × (10²)³ × (10^-3)²

= 6.67 × 10^-11 cm³ g^-1 s^-2

G = 6.67 × 10^–11 N m² (kg)^–2 = 6.67 × 10^-11 (cm)³ s^–2 g^–1