472. Выполните возведение в степень: a) (3x²)³; б) (4m)²; в) (-2a²b²)³; г) (-3x²y)⁴; д) (-a²bc⁴)⁵; е) (-a³b²c²)².

a) (3x²)³ = 3³ ⋅ (x²)³ = 27x⁶

б) (4m)² = 4² ⋅ m² = 16m²

в) (-2a²b²)³ = (-2)³ ⋅ (a²)³ ⋅ (b²)³ = -8a⁶b⁶

г) (-3x²y)⁴ = (-3)⁴ ⋅ (x²)⁴ ⋅ y⁴ = 81x⁸y⁴

д) (-a²bc⁴)⁵ = (-1)⁵ ⋅ (a²)⁵ ⋅ b⁵ ⋅ (c⁴)⁵ = -a¹⁰b⁵c²⁰

е) (-a³b²c²)² = (-1)² ⋅ (a³)² ⋅ (b²)² ⋅ (c²)² = a⁶b⁴c⁴

Ответ: а) 27x⁶; б) 16m²; в) -8a⁶b⁶; г) 81x⁸y⁴; д) -a¹⁰b⁵c²⁰; е) a⁶b⁴c⁴