Baholash
-\frac{3b^{17}a^{18}}{2}
Kengaytirish
-\frac{3b^{17}a^{18}}{2}
Baham ko'rish
Klipbordga nusxa olish
\left(-\frac{3}{2}\right)^{4}\left(a^{3}\right)^{4}\left(b^{2}\right)^{4}\left(-\frac{2}{3}a^{2}b^{3}\right)^{3}
\left(-\frac{3}{2}a^{3}b^{2}\right)^{4} ni kengaytirish.
\left(-\frac{3}{2}\right)^{4}a^{12}\left(b^{2}\right)^{4}\left(-\frac{2}{3}a^{2}b^{3}\right)^{3}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 4 ni ko‘paytirib, 12 ni oling.
\left(-\frac{3}{2}\right)^{4}a^{12}b^{8}\left(-\frac{2}{3}a^{2}b^{3}\right)^{3}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 4 ni ko‘paytirib, 8 ni oling.
\frac{81}{16}a^{12}b^{8}\left(-\frac{2}{3}a^{2}b^{3}\right)^{3}
4 daraja ko‘rsatkichini -\frac{3}{2} ga hisoblang va \frac{81}{16} ni qiymatni oling.
\frac{81}{16}a^{12}b^{8}\left(-\frac{2}{3}\right)^{3}\left(a^{2}\right)^{3}\left(b^{3}\right)^{3}
\left(-\frac{2}{3}a^{2}b^{3}\right)^{3} ni kengaytirish.
\frac{81}{16}a^{12}b^{8}\left(-\frac{2}{3}\right)^{3}a^{6}\left(b^{3}\right)^{3}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 3 ni ko‘paytirib, 6 ni oling.
\frac{81}{16}a^{12}b^{8}\left(-\frac{2}{3}\right)^{3}a^{6}b^{9}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 3 ni ko‘paytirib, 9 ni oling.
\frac{81}{16}a^{12}b^{8}\left(-\frac{8}{27}\right)a^{6}b^{9}
3 daraja ko‘rsatkichini -\frac{2}{3} ga hisoblang va -\frac{8}{27} ni qiymatni oling.
-\frac{3}{2}a^{12}b^{8}a^{6}b^{9}
-\frac{3}{2} hosil qilish uchun \frac{81}{16} va -\frac{8}{27} ni ko'paytirish.
-\frac{3}{2}a^{18}b^{8}b^{9}
Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 12 va 6 ni qo‘shib, 18 ni oling.
-\frac{3}{2}a^{18}b^{17}
Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 8 va 9 ni qo‘shib, 17 ni oling.
\left(-\frac{3}{2}\right)^{4}\left(a^{3}\right)^{4}\left(b^{2}\right)^{4}\left(-\frac{2}{3}a^{2}b^{3}\right)^{3}
\left(-\frac{3}{2}a^{3}b^{2}\right)^{4} ni kengaytirish.
\left(-\frac{3}{2}\right)^{4}a^{12}\left(b^{2}\right)^{4}\left(-\frac{2}{3}a^{2}b^{3}\right)^{3}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 4 ni ko‘paytirib, 12 ni oling.
\left(-\frac{3}{2}\right)^{4}a^{12}b^{8}\left(-\frac{2}{3}a^{2}b^{3}\right)^{3}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 4 ni ko‘paytirib, 8 ni oling.
\frac{81}{16}a^{12}b^{8}\left(-\frac{2}{3}a^{2}b^{3}\right)^{3}
4 daraja ko‘rsatkichini -\frac{3}{2} ga hisoblang va \frac{81}{16} ni qiymatni oling.
\frac{81}{16}a^{12}b^{8}\left(-\frac{2}{3}\right)^{3}\left(a^{2}\right)^{3}\left(b^{3}\right)^{3}
\left(-\frac{2}{3}a^{2}b^{3}\right)^{3} ni kengaytirish.
\frac{81}{16}a^{12}b^{8}\left(-\frac{2}{3}\right)^{3}a^{6}\left(b^{3}\right)^{3}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 3 ni ko‘paytirib, 6 ni oling.
\frac{81}{16}a^{12}b^{8}\left(-\frac{2}{3}\right)^{3}a^{6}b^{9}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 3 ni ko‘paytirib, 9 ni oling.
\frac{81}{16}a^{12}b^{8}\left(-\frac{8}{27}\right)a^{6}b^{9}
3 daraja ko‘rsatkichini -\frac{2}{3} ga hisoblang va -\frac{8}{27} ni qiymatni oling.
-\frac{3}{2}a^{12}b^{8}a^{6}b^{9}
-\frac{3}{2} hosil qilish uchun \frac{81}{16} va -\frac{8}{27} ni ko'paytirish.
-\frac{3}{2}a^{18}b^{8}b^{9}
Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 12 va 6 ni qo‘shib, 18 ni oling.
-\frac{3}{2}a^{18}b^{17}
Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 8 va 9 ni qo‘shib, 17 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}