Ответ:
-16 1/3
Пошаговое объяснение:
(2 1/3а⁴в⁸)³ * (-1 2/7а⁵в¹²) =
(2 1/3)³ * (а⁴)³ * (в⁸)³ * (-1 2/7) * а⁵ * в¹² =
(7/3)³ * а¹² * в²⁴ * (-9/7) * а⁵ * в¹² =
343/27 * а¹² * в²⁴ * (-9/7) * а⁵ * в¹² =
(343/27 * (-9/7)) * (а¹² * а⁵) * (в²⁴ * в¹²) =
(49/3 * (-1/1)) * а¹⁷ * в³⁶ =
-49/3 * а¹⁷ * в³⁶ = -49/3а¹⁷в³⁶
а = 1; в = -1
-49/3а¹⁷в³⁶ = -49/3 * 1¹⁷ * (-1)³⁶ = -49/3 * 1 * 1 =
-49/3 = -16 1/3
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Verified answer
Ответ:
-16 1/3
Пошаговое объяснение:
(2 1/3а⁴в⁸)³ * (-1 2/7а⁵в¹²) =
(2 1/3)³ * (а⁴)³ * (в⁸)³ * (-1 2/7) * а⁵ * в¹² =
(7/3)³ * а¹² * в²⁴ * (-9/7) * а⁵ * в¹² =
343/27 * а¹² * в²⁴ * (-9/7) * а⁵ * в¹² =
(343/27 * (-9/7)) * (а¹² * а⁵) * (в²⁴ * в¹²) =
(49/3 * (-1/1)) * а¹⁷ * в³⁶ =
-49/3 * а¹⁷ * в³⁶ = -49/3а¹⁷в³⁶
а = 1; в = -1
-49/3а¹⁷в³⁶ = -49/3 * 1¹⁷ * (-1)³⁶ = -49/3 * 1 * 1 =
-49/3 = -16 1/3