Дано
$$27 cdot 3^{- x^{3}} left(18 x^{3} log{left (3 right )} + – 9 x^{6} log^{2}{left (3 right )} – 2right) log{left (3 right )}$$
Подстановка условия
$$27 cdot 3^{- x^{3}} left(18 x^{3} log{left (3 right )} + – 9 x^{6} log^{2}{left (3 right )} – 2right) log{left (3 right )}$$
((27*3^(-(-3/2)^3))*(-2 – 9*(-3/2)^6*log(3)^2 + (18*(-3/2)^3)*log(3)))*log(3)
$$27 cdot 3^{- (-3/2)^{3}} left(18 (-3/2)^{3} log{left (3 right )} + – 9 (-3/2)^{6} log^{2}{left (3 right )} – 2right) log{left (3 right )}$$
((27*3^(-(-3/2)^3))*(-2 – 9*(-3/2)^6*log(3)^2 + (18*(-3/2)^3)*log(3)))*log(3)
$$27 cdot 3^{- frac{-27}{8}} left(- frac{6561}{64} log^{2}{left (3 right )} – 2 + 18 left(- frac{3}{2}right)^{3} log{left (3 right )}right) log{left (3 right )}$$
729*3^(3/8)*(-2 – 6561*log(3)^2/64 – 243*log(3)/4)*log(3)
$$729 cdot 3^{frac{3}{8}} left(- frac{6561}{64} log^{2}{left (3 right )} – frac{243}{4} log{left (3 right )} – 2right) log{left (3 right )}$$
Степени
$$3^{- x^{3} + 3} left(- 9 x^{6} log^{2}{left (3 right )} + 18 x^{3} log{left (3 right )} – 2right) log{left (3 right )}$$
3
-x / 6 2 3
3 * -54 – 243*x *log (3) + 486*x *log(3)/*log(3)
$$3^{- x^{3}} left(- 243 x^{6} log^{2}{left (3 right )} + 486 x^{3} log{left (3 right )} – 54right) log{left (3 right )}$$
Численный ответ
29.662531794039*3.0^(-x^3)*(-2.0 + 19.775021196026*x^3 – 10.8625406473132*x^6)
Рациональный знаменатель
$$3^{- x^{3}} left(- 243 x^{6} log^{2}{left (3 right )} + 486 x^{3} log{left (3 right )} – 54right) log{left (3 right )}$$
Объединение рациональных выражений
$$27 cdot 3^{- x^{3}} left(- 9 x^{6} log^{2}{left (3 right )} + 18 x^{3} log{left (3 right )} – 2right) log{left (3 right )}$$
Общее упрощение
3
-x / 3 6 2
-3 *2 – x *log(387420489) + 9*x *log (3)/*log(7625597484987)
$$- 3^{- x^{3}} left(9 x^{6} log^{2}{left (3 right )} – x^{3} log{left (387420489 right )} + 2right) log{left (7625597484987 right )}$$
Соберем выражение
$$27 cdot 3^{- x^{3}} left(18 x^{3} log{left (3 right )} – 9 x^{6} log^{2}{left (3 right )} – 2right) log{left (3 right )}$$
3
-x / 6 3 3 2
3 * -log(58149737003040059690390169) – 243*x *log (3) + 486*x *log (3)/
$$3^{- x^{3}} left(- 243 x^{6} log^{3}{left (3 right )} + 486 x^{3} log^{2}{left (3 right )} – log{left (58149737003040059690390169 right )}right)$$
Общий знаменатель
3
-x / 3 2 6 3
-3 *54*log(3) – 486*x *log (3) + 243*x *log (3)/
$$- 3^{- x^{3}} left(243 x^{6} log^{3}{left (3 right )} – 486 x^{3} log^{2}{left (3 right )} + 54 log{left (3 right )}right)$$
Комбинаторика
3
-x / 3 6 2
-27*3 *2 – 18*x *log(3) + 9*x *log (3)/*log(3)
$$- 27 cdot 3^{- x^{3}} left(9 x^{6} log^{2}{left (3 right )} – 18 x^{3} log{left (3 right )} + 2right) log{left (3 right )}$$
Раскрыть выражение
3
3 – x / 6 2 3
3 * -2 – 9*x *log (3) + 18*x *log(3)/*log(3)
$$3^{- x^{3} + 3} left(- 9 x^{6} log^{2}{left (3 right )} + 18 x^{3} log{left (3 right )} – 2right) log{left (3 right )}$$
