Выражение: (5*a^3/11)^4+4*a^12/11
Ответ: (5949//14641)*a^12
Решаем по действиям:
1. 5/11=(5//11)
2. ((5//11)*a^3)^4=(5//11)^4*a^12
((5//11)*a^3)^4=(5//11)^4*a^(3*4)
2.1. 3*4=12
X3
_4_
12
3. (5//11)^4=625//14641
4. 4/11=(4//11)
5. (625//14641)*a^12+(4//11)*a^12=(5949//14641)*a^12
Решаем по шагам:
1. ((5//11)*a^3)^4+4*a^12/11
1.1. 5/11=(5//11)
2. (5//11)^4*a^12+4*a^12/11
2.1. ((5//11)*a^3)^4=(5//11)^4*a^12
((5//11)*a^3)^4=(5//11)^4*a^(3*4)
2.1.1. 3*4=12
X3
_4_
12
3. (625//14641)*a^12+4*a^12/11
3.1. (5//11)^4=625//14641
4. (625//14641)*a^12+(4//11)*a^12
4.1. 4/11=(4//11)
5. (5949//14641)*a^12
5.1. (625//14641)*a^12+(4//11)*a^12=(5949//14641)*a^12
Приводим к окончательному ответу с возможной потерей точности:
Окончательный ответ: 0.4063*a^12