Baholash
1600x^{8}y^{11}
Kengaytirish
1600x^{8}y^{11}
Viktorina
Algebra
5xshash muammolar:
\frac { ( 4 x ^ { 3 } y ^ { 4 } ) ^ { 3 } } { 5 ^ { - 2 } x y } =
Baham ko'rish
Klipbordga nusxa olish
\frac{4^{3}\left(x^{3}\right)^{3}\left(y^{4}\right)^{3}}{5^{-2}xy}
\left(4x^{3}y^{4}\right)^{3} ni kengaytirish.
\frac{4^{3}x^{9}\left(y^{4}\right)^{3}}{5^{-2}xy}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 3 ni ko‘paytirib, 9 ni oling.
\frac{4^{3}x^{9}y^{12}}{5^{-2}xy}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va 3 ni ko‘paytirib, 12 ni oling.
\frac{64x^{9}y^{12}}{5^{-2}xy}
3 daraja ko‘rsatkichini 4 ga hisoblang va 64 ni qiymatni oling.
\frac{64x^{9}y^{12}}{\frac{1}{25}xy}
-2 daraja ko‘rsatkichini 5 ga hisoblang va \frac{1}{25} ni qiymatni oling.
\frac{64x^{8}y^{11}}{\frac{1}{25}}
Surat va maxrajdagi ikkala xy ni qisqartiring.
64x^{8}y^{11}\times 25
64x^{8}y^{11} ni \frac{1}{25} ga bo'lish 64x^{8}y^{11} ga k'paytirish \frac{1}{25} ga qaytarish.
1600x^{8}y^{11}
1600 hosil qilish uchun 64 va 25 ni ko'paytirish.
\frac{4^{3}\left(x^{3}\right)^{3}\left(y^{4}\right)^{3}}{5^{-2}xy}
\left(4x^{3}y^{4}\right)^{3} ni kengaytirish.
\frac{4^{3}x^{9}\left(y^{4}\right)^{3}}{5^{-2}xy}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 3 ni ko‘paytirib, 9 ni oling.
\frac{4^{3}x^{9}y^{12}}{5^{-2}xy}
Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va 3 ni ko‘paytirib, 12 ni oling.
\frac{64x^{9}y^{12}}{5^{-2}xy}
3 daraja ko‘rsatkichini 4 ga hisoblang va 64 ni qiymatni oling.
\frac{64x^{9}y^{12}}{\frac{1}{25}xy}
-2 daraja ko‘rsatkichini 5 ga hisoblang va \frac{1}{25} ni qiymatni oling.
\frac{64x^{8}y^{11}}{\frac{1}{25}}
Surat va maxrajdagi ikkala xy ni qisqartiring.
64x^{8}y^{11}\times 25
64x^{8}y^{11} ni \frac{1}{25} ga bo'lish 64x^{8}y^{11} ga k'paytirish \frac{1}{25} ga qaytarish.
1600x^{8}y^{11}
1600 hosil qilish uchun 64 va 25 ni ko'paytirish.
Misollar
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{ x } ^ { 2 } - 4 x - 5 = 0
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Chiziqli tenglama
y = 3x + 4
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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}