Baholash
\frac{16}{x^{8}}
Kengaytirish
\frac{16}{x^{8}}
Grafik
Baham ko'rish
Klipbordga nusxa olish
\left(4^{-2}\left(x^{-2}\right)^{-2}\times 8x^{-2}\right)^{-4}
\left(4x^{-2}\right)^{-2} ni kengaytirish.
\left(4^{-2}x^{4}\times 8x^{-2}\right)^{-4}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -2 va -2 ni ko‘paytirib, 4 ni oling.
\left(\frac{1}{16}x^{4}\times 8x^{-2}\right)^{-4}
-2 daraja ko‘rsatkichini 4 ga hisoblang va \frac{1}{16} ni qiymatni oling.
\left(\frac{1}{2}x^{4}x^{-2}\right)^{-4}
\frac{1}{2} hosil qilish uchun \frac{1}{16} va 8 ni ko'paytirish.
\left(\frac{1}{2}x^{2}\right)^{-4}
Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va -2 ni qo‘shib, 2 ni oling.
\left(\frac{1}{2}\right)^{-4}\left(x^{2}\right)^{-4}
\left(\frac{1}{2}x^{2}\right)^{-4} ni kengaytirish.
\left(\frac{1}{2}\right)^{-4}x^{-8}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va -4 ni ko‘paytirib, -8 ni oling.
16x^{-8}
-4 daraja ko‘rsatkichini \frac{1}{2} ga hisoblang va 16 ni qiymatni oling.
\left(4^{-2}\left(x^{-2}\right)^{-2}\times 8x^{-2}\right)^{-4}
\left(4x^{-2}\right)^{-2} ni kengaytirish.
\left(4^{-2}x^{4}\times 8x^{-2}\right)^{-4}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -2 va -2 ni ko‘paytirib, 4 ni oling.
\left(\frac{1}{16}x^{4}\times 8x^{-2}\right)^{-4}
-2 daraja ko‘rsatkichini 4 ga hisoblang va \frac{1}{16} ni qiymatni oling.
\left(\frac{1}{2}x^{4}x^{-2}\right)^{-4}
\frac{1}{2} hosil qilish uchun \frac{1}{16} va 8 ni ko'paytirish.
\left(\frac{1}{2}x^{2}\right)^{-4}
Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 4 va -2 ni qo‘shib, 2 ni oling.
\left(\frac{1}{2}\right)^{-4}\left(x^{2}\right)^{-4}
\left(\frac{1}{2}x^{2}\right)^{-4} ni kengaytirish.
\left(\frac{1}{2}\right)^{-4}x^{-8}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va -4 ni ko‘paytirib, -8 ni oling.
16x^{-8}
-4 daraja ko‘rsatkichini \frac{1}{2} ga hisoblang va 16 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}