Объяснение:
№1
А
5¹² * (5³)⁵ / (5⁵)⁴ * 5⁶ =
5¹² * 5¹⁵ / 5²⁰ * 5⁶ =
5²⁷ / 5²⁶ = 5¹ = 5
Б
24⁶ / 16⁵ = (3 * 8)⁶ / (2 * 8)⁵ = 3⁶ * 8⁶ / 2⁵ * 8⁵ =
(3⁶/2⁵) * 8¹ = 729/32 * 8 = 729/4 * 1 = 729/4 = 182. 1/4
№2
27 - (3х² + 2х - 7) - (2 - 3х² + 6х) = 0
27 - 3х² - 2х + 7 - 2 + 3х² - 6х = 0
-8х + 32 = 0
-8х = -32
х = -32 : (-8)
х = 4
Ответ: 4
№3
7х(х - 3у) - 15у(3х + у) + 4х(-х + 8у) =
7х² - 21ху - 45ху - 15у² - 4х² + 32ху =
7х² - 15у² - 34ху
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Answers & Comments
Объяснение:
№1
А
5¹² * (5³)⁵ / (5⁵)⁴ * 5⁶ =
5¹² * 5¹⁵ / 5²⁰ * 5⁶ =
5²⁷ / 5²⁶ = 5¹ = 5
Б
24⁶ / 16⁵ = (3 * 8)⁶ / (2 * 8)⁵ = 3⁶ * 8⁶ / 2⁵ * 8⁵ =
(3⁶/2⁵) * 8¹ = 729/32 * 8 = 729/4 * 1 = 729/4 = 182. 1/4
№2
27 - (3х² + 2х - 7) - (2 - 3х² + 6х) = 0
27 - 3х² - 2х + 7 - 2 + 3х² - 6х = 0
-8х + 32 = 0
-8х = -32
х = -32 : (-8)
х = 4
Ответ: 4
№3
7х(х - 3у) - 15у(3х + у) + 4х(-х + 8у) =
7х² - 21ху - 45ху - 15у² - 4х² + 32ху =
7х² - 15у² - 34ху