Упростите выражение: a) x⁵ ⋅ (x²)³; б) (x³)^4 ⋅ x⁸; в) (x⁴)² ⋅ (x⁵)³; г) (x²)³ ⋅ (x³)⁵; д) (x³)² ⋅ (x⁴)⁵; e) (x⁷)³ ⋅ (x³)⁴.

a) x⁵ ⋅ (x²)³ = x⁵ ⋅ x⁶ = x¹¹

б) (x³)^4 ⋅ x⁸ = x¹² ⋅ x⁸ = x²⁰

в) (x⁴)² ⋅ (x⁵)³ = x⁸ ⋅ x¹⁵ = x²³

г) (x²)³ ⋅ (x³)⁵ = x⁶ ⋅ x¹⁵ = x²¹

д) (x³)² ⋅ (x⁴)⁵ = x⁶ ⋅ x²⁰ = x²⁶

e) (x⁷)³ ⋅ (x³)⁴ = x²¹ ⋅ x¹² = x³³

Ответ: a) x¹¹ б) x²⁰ в) x²³ г) x²¹ д) x²⁶ e) x³³