Ответ:

(10⁻¹⁰ ⋅ 100⁶)⁻⁴ = (10⁻¹⁰ ⋅ (10²)⁶)⁻⁴ = (10⁻¹⁰ ⋅ 10¹²)⁻⁴ = (10²)⁻⁴ = 10⁻⁸