Упростите выражение: a) x³ ⋅ (x²)⁵; б) (a³)². a⁵; в) (a²)³ ⋅ (a⁴)²; г) (x²)⁵ ⋅ (x⁵)²; д) (m²m³)⁴; e) (x⁴x)².

a) x³ ⋅ (x²)⁵ = x³ ⋅ x¹⁰ = x¹³

б) (a³)². a⁵ = a⁶ ⋅ a⁵ = a¹¹

в) (a²)³ ⋅ (a⁴)² = a⁶ ⋅ a⁸ = a¹⁴

г) (x²)⁵ ⋅ (x⁵)² = x¹⁰ ⋅ x¹⁰ = x²⁰

д) (m²m³)⁴ = (m⁵)⁴ = m²⁰

e) (x⁴x)² = (x⁵)² = x¹⁰

Ответ: a) x¹³ б) a¹¹ в) a¹⁴ г) x²⁰ д) m²⁰ e) x¹⁰