Whakaoti i te {left(81y^10/16x^12right)}^frac{1{2}}

$${ \left( \frac{ 81 { y }^{ 10 } }{ 16 { x }^{ 12 } } \right) }^{ \frac{ 1 }{ 2 } }$$

Aromātai

$$\frac{9\left(|y|\right)^{5}}{4x^{6}}$$

Ngā Upane Otinga

Kia whakarewa i te \frac{81y^{10}}{16x^{12}} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{\left(81y^{10}\right)^{\frac{1}{2}}}{\left(16x^{12}\right)^{\frac{1}{2}}}$$

Whakarohaina te \left(81y^{10}\right)^{\frac{1}{2}}.

$$\frac{81^{\frac{1}{2}}\left(y^{10}\right)^{\frac{1}{2}}}{\left(16x^{12}\right)^{\frac{1}{2}}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 10 me te \frac{1}{2} kia riro ai te 5.

$$\frac{81^{\frac{1}{2}}y^{5}}{\left(16x^{12}\right)^{\frac{1}{2}}}$$

Tātaihia te 81 mā te pū o \frac{1}{2}, kia riro ko 9.

$$\frac{9y^{5}}{\left(16x^{12}\right)^{\frac{1}{2}}}$$

Whakarohaina te \left(16x^{12}\right)^{\frac{1}{2}}.

$$\frac{9y^{5}}{16^{\frac{1}{2}}\left(x^{12}\right)^{\frac{1}{2}}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 12 me te \frac{1}{2} kia riro ai te 6.

$$\frac{9y^{5}}{16^{\frac{1}{2}}x^{6}}$$

Tātaihia te 16 mā te pū o \frac{1}{2}, kia riro ko 4.

$$\frac{9y^{5}}{4x^{6}}$$

Kimi Pārōnaki e ai ki x

$$-\frac{27\left(|y|\right)^{5}}{2x^{7}}$$