1140. Представьте в виде степени выражение:

Решение:

• 1) (a⁸)⁴ = a^8⋅4 = a³²
• 2) a⁵a⁵ = a⁵⁺⁵ = a¹⁰
• 3) a⁵a⁵ = a⁵⁺⁵ = a¹⁰
• 4) (a⁵)⁵ = a^5⋅5 = a²⁵
• 5) a²a³a⁴ = a²⁺³⁺⁴ = a⁹
• 6) (a²)³a⁴ = a^2⋅3 ⋅ a⁴ = a⁶ ⋅ a⁴ = a⁶⁺⁴ = a¹⁰
• 7) a⁶a⁶ = a⁶⁺⁶ = a¹²
• 8) (a⁶a⁶)⁶ = (a¹²)⁶ = a^12⋅6 = a⁷²
• 9) (a⁹)⁶a⁶ = a^9⋅6 ⋅ a⁶ = a⁵⁴ ⋅ a⁶ = a⁵⁴⁺⁶ = a⁶⁰
• 10) (a⁴)⁵ : a⁷ = a^4⋅5 : a⁷ = a²⁰ : a⁷ = a^20-7 = a¹³
• 11) (a²)⁹ : (a⁹)³ = a^2⋅9 : a^9⋅3 = a¹⁸ : a²⁷ = a^18-27 = a^-9
• 12) (a⁸a⁷) : a¹⁴ = a⁸⁺⁷ : a¹⁴ = a¹⁵ : a¹⁴ = a^15-14 = a¹ = a