Aromātai
\frac{2a}{x^{18}}
Whakaroha
\frac{2a}{x^{18}}
Graph
Tohaina
Kua tāruatia ki te papatopenga
\frac{\left(-16\right)^{3}\left(a^{5}\right)^{3}\left(x^{3}\right)^{3}}{\left(4a^{3}x^{4}\right)^{3}\left(-2ax^{3}\right)^{5}}
Whakarohaina te \left(-16a^{5}x^{3}\right)^{3}.
\frac{\left(-16\right)^{3}a^{15}\left(x^{3}\right)^{3}}{\left(4a^{3}x^{4}\right)^{3}\left(-2ax^{3}\right)^{5}}
Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 5 me te 3 kia riro ai te 15.
\frac{\left(-16\right)^{3}a^{15}x^{9}}{\left(4a^{3}x^{4}\right)^{3}\left(-2ax^{3}\right)^{5}}
Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te 3 kia riro ai te 9.
\frac{-4096a^{15}x^{9}}{\left(4a^{3}x^{4}\right)^{3}\left(-2ax^{3}\right)^{5}}
Tātaihia te -16 mā te pū o 3, kia riro ko -4096.
\frac{-4096a^{15}x^{9}}{4^{3}\left(a^{3}\right)^{3}\left(x^{4}\right)^{3}\left(-2ax^{3}\right)^{5}}
Whakarohaina te \left(4a^{3}x^{4}\right)^{3}.
\frac{-4096a^{15}x^{9}}{4^{3}a^{9}\left(x^{4}\right)^{3}\left(-2ax^{3}\right)^{5}}
Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te 3 kia riro ai te 9.
\frac{-4096a^{15}x^{9}}{4^{3}a^{9}x^{12}\left(-2ax^{3}\right)^{5}}
Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 4 me te 3 kia riro ai te 12.
\frac{-4096a^{15}x^{9}}{64a^{9}x^{12}\left(-2ax^{3}\right)^{5}}
Tātaihia te 4 mā te pū o 3, kia riro ko 64.
\frac{-4096a^{15}x^{9}}{64a^{9}x^{12}\left(-2\right)^{5}a^{5}\left(x^{3}\right)^{5}}
Whakarohaina te \left(-2ax^{3}\right)^{5}.
\frac{-4096a^{15}x^{9}}{64a^{9}x^{12}\left(-2\right)^{5}a^{5}x^{15}}
Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te 5 kia riro ai te 15.
\frac{-4096a^{15}x^{9}}{64a^{9}x^{12}\left(-32\right)a^{5}x^{15}}
Tātaihia te -2 mā te pū o 5, kia riro ko -32.
\frac{-4096a^{15}x^{9}}{-2048a^{9}x^{12}a^{5}x^{15}}
Whakareatia te 64 ki te -32, ka -2048.
\frac{-4096a^{15}x^{9}}{-2048a^{14}x^{12}x^{15}}
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 9 me te 5 kia riro ai te 14.
\frac{-4096a^{15}x^{9}}{-2048a^{14}x^{27}}
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 12 me te 15 kia riro ai te 27.
\frac{-2a}{-x^{18}}
Me whakakore tahi te 2048x^{9}a^{14} i te taurunga me te tauraro.
\frac{2a}{x^{18}}
Me whakakore tahi te -1 i te taurunga me te tauraro.
\frac{\left(-16\right)^{3}\left(a^{5}\right)^{3}\left(x^{3}\right)^{3}}{\left(4a^{3}x^{4}\right)^{3}\left(-2ax^{3}\right)^{5}}
Whakarohaina te \left(-16a^{5}x^{3}\right)^{3}.
\frac{\left(-16\right)^{3}a^{15}\left(x^{3}\right)^{3}}{\left(4a^{3}x^{4}\right)^{3}\left(-2ax^{3}\right)^{5}}
Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 5 me te 3 kia riro ai te 15.
\frac{\left(-16\right)^{3}a^{15}x^{9}}{\left(4a^{3}x^{4}\right)^{3}\left(-2ax^{3}\right)^{5}}
Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te 3 kia riro ai te 9.
\frac{-4096a^{15}x^{9}}{\left(4a^{3}x^{4}\right)^{3}\left(-2ax^{3}\right)^{5}}
Tātaihia te -16 mā te pū o 3, kia riro ko -4096.
\frac{-4096a^{15}x^{9}}{4^{3}\left(a^{3}\right)^{3}\left(x^{4}\right)^{3}\left(-2ax^{3}\right)^{5}}
Whakarohaina te \left(4a^{3}x^{4}\right)^{3}.
\frac{-4096a^{15}x^{9}}{4^{3}a^{9}\left(x^{4}\right)^{3}\left(-2ax^{3}\right)^{5}}
Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te 3 kia riro ai te 9.
\frac{-4096a^{15}x^{9}}{4^{3}a^{9}x^{12}\left(-2ax^{3}\right)^{5}}
Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 4 me te 3 kia riro ai te 12.
\frac{-4096a^{15}x^{9}}{64a^{9}x^{12}\left(-2ax^{3}\right)^{5}}
Tātaihia te 4 mā te pū o 3, kia riro ko 64.
\frac{-4096a^{15}x^{9}}{64a^{9}x^{12}\left(-2\right)^{5}a^{5}\left(x^{3}\right)^{5}}
Whakarohaina te \left(-2ax^{3}\right)^{5}.
\frac{-4096a^{15}x^{9}}{64a^{9}x^{12}\left(-2\right)^{5}a^{5}x^{15}}
Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te 5 kia riro ai te 15.
\frac{-4096a^{15}x^{9}}{64a^{9}x^{12}\left(-32\right)a^{5}x^{15}}
Tātaihia te -2 mā te pū o 5, kia riro ko -32.
\frac{-4096a^{15}x^{9}}{-2048a^{9}x^{12}a^{5}x^{15}}
Whakareatia te 64 ki te -32, ka -2048.
\frac{-4096a^{15}x^{9}}{-2048a^{14}x^{12}x^{15}}
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 9 me te 5 kia riro ai te 14.
\frac{-4096a^{15}x^{9}}{-2048a^{14}x^{27}}
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 12 me te 15 kia riro ai te 27.
\frac{-2a}{-x^{18}}
Me whakakore tahi te 2048x^{9}a^{14} i te taurunga me te tauraro.
\frac{2a}{x^{18}}
Me whakakore tahi te -1 i te taurunga me te tauraro.
Ngā Tauira
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\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]
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Whakaurunga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Ngā Tepe
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}