Baholash
\frac{xy^{5}}{9}
Kengaytirish
\frac{xy^{5}}{9}
Viktorina
Algebra
5xshash muammolar:
\frac { ( 3 x ^ { 2 } y ^ { - 3 } ) ^ { - 2 } } { x ^ { - 5 } y }
Baham ko'rish
Klipbordga nusxa olish
\frac{3^{-2}\left(x^{2}\right)^{-2}\left(y^{-3}\right)^{-2}}{x^{-5}y}
\left(3x^{2}y^{-3}\right)^{-2} ni kengaytirish.
\frac{3^{-2}x^{-4}\left(y^{-3}\right)^{-2}}{x^{-5}y}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va -2 ni ko‘paytirib, -4 ni oling.
\frac{3^{-2}x^{-4}y^{6}}{x^{-5}y}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -3 va -2 ni ko‘paytirib, 6 ni oling.
\frac{\frac{1}{9}x^{-4}y^{6}}{x^{-5}y}
-2 daraja ko‘rsatkichini 3 ga hisoblang va \frac{1}{9} ni qiymatni oling.
\frac{\frac{1}{9}x^{-4}y^{5}}{x^{-5}}
Surat va maxrajdagi ikkala y ni qisqartiring.
\frac{1}{9}x^{1}y^{5}
Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.
\frac{1}{9}xy^{5}
1 daraja ko‘rsatkichini x ga hisoblang va x ni qiymatni oling.
\frac{3^{-2}\left(x^{2}\right)^{-2}\left(y^{-3}\right)^{-2}}{x^{-5}y}
\left(3x^{2}y^{-3}\right)^{-2} ni kengaytirish.
\frac{3^{-2}x^{-4}\left(y^{-3}\right)^{-2}}{x^{-5}y}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va -2 ni ko‘paytirib, -4 ni oling.
\frac{3^{-2}x^{-4}y^{6}}{x^{-5}y}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -3 va -2 ni ko‘paytirib, 6 ni oling.
\frac{\frac{1}{9}x^{-4}y^{6}}{x^{-5}y}
-2 daraja ko‘rsatkichini 3 ga hisoblang va \frac{1}{9} ni qiymatni oling.
\frac{\frac{1}{9}x^{-4}y^{5}}{x^{-5}}
Surat va maxrajdagi ikkala y ni qisqartiring.
\frac{1}{9}x^{1}y^{5}
Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.
\frac{1}{9}xy^{5}
1 daraja ko‘rsatkichini x ga hisoblang va x ni qiymatni 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}