Baholash
\left(\frac{x}{z}\right)^{3}y^{15}
Kengaytirish
\left(\frac{x}{z}\right)^{3}y^{15}
Baham ko'rish
Klipbordga nusxa olish
\left(\frac{z^{-3}y^{-2}}{z^{-4}xy^{3}}\right)^{-3}
Surat va maxrajdagi ikkala x ni qisqartiring.
\left(\frac{y^{-2}z^{1}}{xy^{3}}\right)^{-3}
Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.
\left(\frac{z^{1}}{xy^{5}}\right)^{-3}
Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.
\left(\frac{z}{xy^{5}}\right)^{-3}
1 daraja ko‘rsatkichini z ga hisoblang va z ni qiymatni oling.
\frac{z^{-3}}{\left(xy^{5}\right)^{-3}}
\frac{z}{xy^{5}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.
\frac{z^{-3}}{x^{-3}\left(y^{5}\right)^{-3}}
\left(xy^{5}\right)^{-3} ni kengaytirish.
\frac{z^{-3}}{x^{-3}y^{-15}}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va -3 ni ko‘paytirib, -15 ni oling.
\left(\frac{z^{-3}y^{-2}}{z^{-4}xy^{3}}\right)^{-3}
Surat va maxrajdagi ikkala x ni qisqartiring.
\left(\frac{y^{-2}z^{1}}{xy^{3}}\right)^{-3}
Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.
\left(\frac{z^{1}}{xy^{5}}\right)^{-3}
Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.
\left(\frac{z}{xy^{5}}\right)^{-3}
1 daraja ko‘rsatkichini z ga hisoblang va z ni qiymatni oling.
\frac{z^{-3}}{\left(xy^{5}\right)^{-3}}
\frac{z}{xy^{5}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.
\frac{z^{-3}}{x^{-3}\left(y^{5}\right)^{-3}}
\left(xy^{5}\right)^{-3} ni kengaytirish.
\frac{z^{-3}}{x^{-3}y^{-15}}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va -3 ni ko‘paytirib, -15 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}