Ответ:
В решении.
Объяснение:
Упростить:
(4/9 a¹⁴b¹⁵b¹²c¹⁸a⁹bc¹³) : (2/81 ((-a³b⁵)²c(b²c²)²)²) =
= (4/9 a¹⁴⁺⁹b¹⁵⁺¹²⁺¹c¹⁸⁺¹³) : (2/81 (a⁶b¹⁰cb⁴c⁴)² =
= (4/9 a¹⁴⁺⁹b¹⁵⁺¹²⁺¹c¹⁸⁺¹³) : (2/81 (a⁶b¹⁰⁺⁴c¹⁺⁴)² =
= (4/9 a²³b²⁸c³¹) : (2/81 (a⁶b¹⁴c⁵)² =
= (4/9 a²³b²⁸c³¹) : (2/81 a¹²b²⁸c¹⁰) =
= (4 a²³b²⁸c³¹)/9 : (2 a¹²b²⁸c¹⁰)/81 =
= (4 a²³b²⁸c³¹) * 81 : 9 * (2 a¹²b²⁸c¹⁰) =
= 18 a²³⁻¹²b²⁸⁻²⁸c³¹⁻¹⁰ =
= 18a¹¹c²¹.
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Answers & Comments
Ответ:
В решении.
Объяснение:
Упростить:
(4/9 a¹⁴b¹⁵b¹²c¹⁸a⁹bc¹³) : (2/81 ((-a³b⁵)²c(b²c²)²)²) =
= (4/9 a¹⁴⁺⁹b¹⁵⁺¹²⁺¹c¹⁸⁺¹³) : (2/81 (a⁶b¹⁰cb⁴c⁴)² =
= (4/9 a¹⁴⁺⁹b¹⁵⁺¹²⁺¹c¹⁸⁺¹³) : (2/81 (a⁶b¹⁰⁺⁴c¹⁺⁴)² =
= (4/9 a²³b²⁸c³¹) : (2/81 (a⁶b¹⁴c⁵)² =
= (4/9 a²³b²⁸c³¹) : (2/81 a¹²b²⁸c¹⁰) =
= (4 a²³b²⁸c³¹)/9 : (2 a¹²b²⁸c¹⁰)/81 =
= (4 a²³b²⁸c³¹) * 81 : 9 * (2 a¹²b²⁸c¹⁰) =
= 18 a²³⁻¹²b²⁸⁻²⁸c³¹⁻¹⁰ =
= 18a¹¹c²¹.