The formula for electric power (P) is given by the product of potential difference (V) and current (I): P = V × I. Let the initial potential difference be V₁ and the initial current be I₁. The initial power is P₁ = V₁ × I₁. If the potential difference is increased twice, the new potential difference V₂ = 2 × V₁. If the current is increased twice, the new current I₂ = 2 × I₁. The new electric power is P₂ = V₂ × I₂ = (2 × V₁) × (2 × I₁) = 4 × (V₁ × I₁). Since P₁ = V₁ × I₁, we have P₂ = 4 × P₁.