Пошаговое объяснение:
(8¹¹)⁸ : (8⁷)¹⁰ = 8⁸⁸ : 8⁷⁰ = 8¹⁸
(8⁹)² * 8⁵ : (8⁷)³ = 8¹⁸ * 8⁵ : 8²¹ = 8²³ : 8²¹ = 8²
8 * 8⁵ * (8²)³ / 8¹⁴ : (8⁵)² = 8⁶ * 8⁶ / 8¹⁴ : 8¹⁰ = 8¹² / 8⁴ = 8⁸
[tex]\cfrac{\left ( 8^{11} \right )^8}{\left ( 8^7 \right )^{10}}=\cfrac{8^{88}}{8^{70}}=8^{88-70}=8^{18}\\\cfrac{\left ( 8^9 \right )^2\cdot 8^5}{\left ( 8^7 \right )^3}=\cfrac{8^{18}\cdot 8^5}{8^{21}}=\cfrac{8^{18+5}}{8^{21}}=\cfrac{8^{23}}{8^{21}}=8^{23-21}=8^2\\\cfrac{8\cdot 8^5\cdot \left ( 8^2 \right )^3}{8^{14}:\left ( 8^5 \right )^2}=\cfrac{8\cdot 8^5\cdot 8^6}{8^{14}:8^{10}}=\cfrac{8^{1+5+6}}{8^{14-10}}=\cfrac{8^{12}}{8^4}=8^8[/tex]
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Пошаговое объяснение:
(8¹¹)⁸ : (8⁷)¹⁰ = 8⁸⁸ : 8⁷⁰ = 8¹⁸
(8⁹)² * 8⁵ : (8⁷)³ = 8¹⁸ * 8⁵ : 8²¹ = 8²³ : 8²¹ = 8²
8 * 8⁵ * (8²)³ / 8¹⁴ : (8⁵)² = 8⁶ * 8⁶ / 8¹⁴ : 8¹⁰ = 8¹² / 8⁴ = 8⁸
[tex]\cfrac{\left ( 8^{11} \right )^8}{\left ( 8^7 \right )^{10}}=\cfrac{8^{88}}{8^{70}}=8^{88-70}=8^{18}\\\cfrac{\left ( 8^9 \right )^2\cdot 8^5}{\left ( 8^7 \right )^3}=\cfrac{8^{18}\cdot 8^5}{8^{21}}=\cfrac{8^{18+5}}{8^{21}}=\cfrac{8^{23}}{8^{21}}=8^{23-21}=8^2\\\cfrac{8\cdot 8^5\cdot \left ( 8^2 \right )^3}{8^{14}:\left ( 8^5 \right )^2}=\cfrac{8\cdot 8^5\cdot 8^6}{8^{14}:8^{10}}=\cfrac{8^{1+5+6}}{8^{14-10}}=\cfrac{8^{12}}{8^4}=8^8[/tex]