• 3. Упростите выражение: a) -4x⁵y² ⋅ 3xy⁴; б) (3x²y³)².

Упростим выражения.

a) −4x⁵y² ⋅ 3xy⁴ = (−4 ⋅ 3) ⋅ (x⁵ ⋅ x) ⋅ (y² ⋅ y⁴) = -12x⁵⁺¹y²⁺⁴ = -12x⁶y⁶

б) (3x²y³)² = 3² ⋅ (x²)² ⋅ (y³)² = 9x²*²y³*² = 9x⁴y⁶

Ответ: а) -12x⁶y⁶; б) 9x⁴y⁶