(i) Formula:

A⁰ = 1

By using above formula in question:

(3⁰ + 4^-1) × 2² = (1 + 1/4) × 2²

⇒ (3⁰ + 4^-1) × 2² = (5/4) × 4

⇒ (3⁰ + 4^-1) × 2² = 5

(ii) Formula:

By using above formula in question:

(2^-1 × 4^-1) ÷ 2^-2 = (2^-1 × 2^-2) ÷ 2^-2

⇒ (2^-1 × 4^-1) ÷ 2^-2 = (2^{-1 -2}) ÷ 2^-2

⇒ (2^-1 × 4^-1) ÷ 2^-2 = (2^-3) ÷ 2^-2

⇒ (2^-1 × 4^-1) ÷ 2^-2 = 2^-3+2

⇒ (2^-1 × 4^-1) ÷ 2^-2 = 2^-1= 1/2

(iii) Formula:

By using above formula in question:

(iv) Formula:

By using above formula in question:

(v) Formula:

By using above formula in question: