Whakaoti i te {left(x^3right)}^frac{1{3}}*{left(x^4right)}^frac{1{2}}*{left(x1/5right)}^5

$${ \left( { x }^{ 3 } \right) }^{ \frac{ 1 }{ 3 } } \times { \left( { x }^{ 4 } \right) }^{ \frac{ 1 }{ 2 } } \times { \left(x \frac{ 1 }{ 5 } \right) }^{ 5 }$$

Aromātai

$$\frac{x^{8}}{3125}$$

Ngā Upane Otinga

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te \frac{1}{3} kia riro ai te 1.

$$x^{1}\left(x^{4}\right)^{\frac{1}{2}}\left(x\times \frac{1}{5}\right)^{5}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 4 me te \frac{1}{2} kia riro ai te 2.

$$x^{1}x^{2}\left(x\times \frac{1}{5}\right)^{5}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te 2 kia riro ai te 3.

$$x^{3}\left(x\times \frac{1}{5}\right)^{5}$$

Whakarohaina te \left(x\times \frac{1}{5}\right)^{5}.

$$x^{3}x^{5}\times \left(\frac{1}{5}\right)^{5}$$

Tātaihia te \frac{1}{5} mā te pū o 5, kia riro ko \frac{1}{3125}.

$$x^{3}x^{5}\times \frac{1}{3125}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te 5 kia riro ai te 8.

$$x^{8}\times \frac{1}{3125}$$

Kimi Pārōnaki e ai ki x

$$\frac{8x^{7}}{3125}$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te \frac{1}{3} kia riro ai te 1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{1}\left(x^{4}\right)^{\frac{1}{2}}\left(x\times \frac{1}{5}\right)^{5})$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 4 me te \frac{1}{2} kia riro ai te 2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{1}x^{2}\left(x\times \frac{1}{5}\right)^{5})$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te 2 kia riro ai te 3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}\left(x\times \frac{1}{5}\right)^{5})$$

Whakarohaina te \left(x\times \frac{1}{5}\right)^{5}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}x^{5}\times \left(\frac{1}{5}\right)^{5})$$

Tātaihia te \frac{1}{5} mā te pū o 5, kia riro ko \frac{1}{3125}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}x^{5}\times \frac{1}{3125})$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te 5 kia riro ai te 8.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{8}\times \frac{1}{3125})$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$8\times \frac{1}{3125}x^{8-1}$$

Whakareatia 8 ki te \frac{1}{3125}.

$$\frac{8}{3125}x^{8-1}$$

Tango 1 mai i 8.

$$\frac{8}{3125}x^{7}$$