Baholash
-4y^{5}x^{22}
Kengaytirish
-4y^{5}x^{22}
Baham ko'rish
Klipbordga nusxa olish
\left(-2\right)^{5}\left(x^{3}\right)^{5}\left(y^{2}\right)^{5}\times \frac{x^{7}y}{8y^{6}}
\left(-2x^{3}y^{2}\right)^{5} ni kengaytirish.
\left(-2\right)^{5}x^{15}\left(y^{2}\right)^{5}\times \frac{x^{7}y}{8y^{6}}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 5 ni ko‘paytirib, 15 ni oling.
\left(-2\right)^{5}x^{15}y^{10}\times \frac{x^{7}y}{8y^{6}}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 5 ni ko‘paytirib, 10 ni oling.
-32x^{15}y^{10}\times \frac{x^{7}y}{8y^{6}}
5 daraja ko‘rsatkichini -2 ga hisoblang va -32 ni qiymatni oling.
-32x^{15}y^{10}\times \frac{x^{7}}{8y^{5}}
Surat va maxrajdagi ikkala y ni qisqartiring.
\frac{-32x^{7}}{8y^{5}}x^{15}y^{10}
-32\times \frac{x^{7}}{8y^{5}} ni yagona kasrga aylantiring.
\frac{-4x^{7}}{y^{5}}x^{15}y^{10}
Surat va maxrajdagi ikkala 8 ni qisqartiring.
\frac{-4x^{7}x^{15}}{y^{5}}y^{10}
\frac{-4x^{7}}{y^{5}}x^{15} ni yagona kasrga aylantiring.
\frac{-4x^{7}x^{15}y^{10}}{y^{5}}
\frac{-4x^{7}x^{15}}{y^{5}}y^{10} ni yagona kasrga aylantiring.
-4y^{5}x^{7}x^{15}
Surat va maxrajdagi ikkala y^{5} ni qisqartiring.
-4y^{5}x^{22}
Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 7 va 15 ni qo‘shib, 22 ni oling.
\left(-2\right)^{5}\left(x^{3}\right)^{5}\left(y^{2}\right)^{5}\times \frac{x^{7}y}{8y^{6}}
\left(-2x^{3}y^{2}\right)^{5} ni kengaytirish.
\left(-2\right)^{5}x^{15}\left(y^{2}\right)^{5}\times \frac{x^{7}y}{8y^{6}}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 5 ni ko‘paytirib, 15 ni oling.
\left(-2\right)^{5}x^{15}y^{10}\times \frac{x^{7}y}{8y^{6}}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 5 ni ko‘paytirib, 10 ni oling.
-32x^{15}y^{10}\times \frac{x^{7}y}{8y^{6}}
5 daraja ko‘rsatkichini -2 ga hisoblang va -32 ni qiymatni oling.
-32x^{15}y^{10}\times \frac{x^{7}}{8y^{5}}
Surat va maxrajdagi ikkala y ni qisqartiring.
\frac{-32x^{7}}{8y^{5}}x^{15}y^{10}
-32\times \frac{x^{7}}{8y^{5}} ni yagona kasrga aylantiring.
\frac{-4x^{7}}{y^{5}}x^{15}y^{10}
Surat va maxrajdagi ikkala 8 ni qisqartiring.
\frac{-4x^{7}x^{15}}{y^{5}}y^{10}
\frac{-4x^{7}}{y^{5}}x^{15} ni yagona kasrga aylantiring.
\frac{-4x^{7}x^{15}y^{10}}{y^{5}}
\frac{-4x^{7}x^{15}}{y^{5}}y^{10} ni yagona kasrga aylantiring.
-4y^{5}x^{7}x^{15}
Surat va maxrajdagi ikkala y^{5} ni qisqartiring.
-4y^{5}x^{22}
Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 7 va 15 ni qo‘shib, 22 ni oling.
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}