Baholash
-\frac{x^{5}y^{6}}{4}
x ga nisbatan hosilani topish
-\frac{5x^{4}y^{6}}{4}
Baham ko'rish
Klipbordga nusxa olish
\left(-\frac{1}{2}\right)^{1}x^{3}y^{4}\times \left(\frac{1}{2}\right)^{1}x^{2}y^{2}
Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.
\left(-\frac{1}{2}\right)^{1}\times \left(\frac{1}{2}\right)^{1}x^{3}x^{2}y^{4}y^{2}
Ko'paytirishning kommutativ xususiyatidan foydalanish.
\left(-\frac{1}{2}\right)^{1}\times \left(\frac{1}{2}\right)^{1}x^{3+2}y^{4+2}
Ayni daraja ko'rsatkichlarini ko'paytirish uchun ularning darajalarini qo'shing.
\left(-\frac{1}{2}\right)^{1}\times \left(\frac{1}{2}\right)^{1}x^{5}y^{4+2}
3 va 2 belgilarini qo'shish.
\left(-\frac{1}{2}\right)^{1}\times \left(\frac{1}{2}\right)^{1}x^{5}y^{6}
4 va 2 belgilarini qo'shish.
-\frac{1}{4}x^{5}y^{6}
Raqamlash sonlarini va maxraj sonlariga ko'paytirish orqali -\frac{1}{2} ni \frac{1}{2} ga ko'paytirish. So'ngra kasrni imkoni boricha eng kam a'zoga qisqartiring.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometriya
4 \sin \theta \cos \theta = 2 \sin \theta
Chiziqli tenglama
y = 3x + 4
Arifmetik
699 * 533
Matritsa
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simli tenglama
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differensatsiya
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Oʻngga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}