Baholash
\frac{9}{4x^{10}}
Kengaytirish
\frac{9}{4x^{10}}
Grafik
Baham ko'rish
Klipbordga nusxa olish
\left(\frac{2x^{5}}{3}\right)^{-2}
Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.
\frac{\left(2x^{5}\right)^{-2}}{3^{-2}}
\frac{2x^{5}}{3}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.
\frac{2^{-2}\left(x^{5}\right)^{-2}}{3^{-2}}
\left(2x^{5}\right)^{-2} ni kengaytirish.
\frac{2^{-2}x^{-10}}{3^{-2}}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va -2 ni ko‘paytirib, -10 ni oling.
\frac{\frac{1}{4}x^{-10}}{3^{-2}}
-2 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{4} ni qiymatni oling.
\frac{\frac{1}{4}x^{-10}}{\frac{1}{9}}
-2 daraja ko‘rsatkichini 3 ga hisoblang va \frac{1}{9} ni qiymatni oling.
\frac{1}{4}x^{-10}\times 9
\frac{1}{4}x^{-10} ni \frac{1}{9} ga bo'lish \frac{1}{4}x^{-10} ga k'paytirish \frac{1}{9} ga qaytarish.
\frac{9}{4}x^{-10}
\frac{9}{4} hosil qilish uchun \frac{1}{4} va 9 ni ko'paytirish.
\left(\frac{2x^{5}}{3}\right)^{-2}
Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.
\frac{\left(2x^{5}\right)^{-2}}{3^{-2}}
\frac{2x^{5}}{3}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.
\frac{2^{-2}\left(x^{5}\right)^{-2}}{3^{-2}}
\left(2x^{5}\right)^{-2} ni kengaytirish.
\frac{2^{-2}x^{-10}}{3^{-2}}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 5 va -2 ni ko‘paytirib, -10 ni oling.
\frac{\frac{1}{4}x^{-10}}{3^{-2}}
-2 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{4} ni qiymatni oling.
\frac{\frac{1}{4}x^{-10}}{\frac{1}{9}}
-2 daraja ko‘rsatkichini 3 ga hisoblang va \frac{1}{9} ni qiymatni oling.
\frac{1}{4}x^{-10}\times 9
\frac{1}{4}x^{-10} ni \frac{1}{9} ga bo'lish \frac{1}{4}x^{-10} ga k'paytirish \frac{1}{9} ga qaytarish.
\frac{9}{4}x^{-10}
\frac{9}{4} hosil qilish uchun \frac{1}{4} va 9 ni ko'paytirish.
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}