Baholash
\frac{1}{5x^{4}y^{10}}
Kengaytirish
\frac{1}{5x^{4}y^{10}}
Baham ko'rish
Klipbordga nusxa olish
\frac{\left(y^{-3}x^{-2}\right)^{2}}{5y^{4}}
Surat va maxrajdagi ikkala 5x^{2}y^{5} ni qisqartiring.
\frac{\left(y^{-3}\right)^{2}\left(x^{-2}\right)^{2}}{5y^{4}}
\left(y^{-3}x^{-2}\right)^{2} ni kengaytirish.
\frac{y^{-6}\left(x^{-2}\right)^{2}}{5y^{4}}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -3 va 2 ni ko‘paytirib, -6 ni oling.
\frac{y^{-6}x^{-4}}{5y^{4}}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -2 va 2 ni ko‘paytirib, -4 ni oling.
\frac{x^{-4}}{5y^{10}}
Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.
\frac{\left(y^{-3}x^{-2}\right)^{2}}{5y^{4}}
Surat va maxrajdagi ikkala 5x^{2}y^{5} ni qisqartiring.
\frac{\left(y^{-3}\right)^{2}\left(x^{-2}\right)^{2}}{5y^{4}}
\left(y^{-3}x^{-2}\right)^{2} ni kengaytirish.
\frac{y^{-6}\left(x^{-2}\right)^{2}}{5y^{4}}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -3 va 2 ni ko‘paytirib, -6 ni oling.
\frac{y^{-6}x^{-4}}{5y^{4}}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -2 va 2 ni ko‘paytirib, -4 ni oling.
\frac{x^{-4}}{5y^{10}}
Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.
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}