Whakaoti i te (16x^{4}y^{5})^frac{1{4}}div(4x^frac{5{8}}y^frac{1{8}})^-2

$$( 16 x ^ { 4 } y ^ { 5 } ) ^ { \frac { 1 } { 4 } } \div ( 4 x ^ { \frac { 5 } { 8 } } y ^ { \frac { 1 } { 8 } } ) ^ { - 2 }$$

Aromātai

$$32y^{\frac{3}{2}}x^{\frac{9}{4}}$$

Ngā Upane Otinga

Whakarohaina te \left(16x^{4}y^{5}\right)^{\frac{1}{4}}.

$$\frac{16^{\frac{1}{4}}\left(x^{4}\right)^{\frac{1}{4}}\left(y^{5}\right)^{\frac{1}{4}}}{\left(4x^{\frac{5}{8}}y^{\frac{1}{8}}\right)^{-2}}$$

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

$$\frac{16^{\frac{1}{4}}x^{1}\left(y^{5}\right)^{\frac{1}{4}}}{\left(4x^{\frac{5}{8}}y^{\frac{1}{8}}\right)^{-2}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 5 me te \frac{1}{4} kia riro ai te \frac{5}{4}.

$$\frac{16^{\frac{1}{4}}x^{1}y^{\frac{5}{4}}}{\left(4x^{\frac{5}{8}}y^{\frac{1}{8}}\right)^{-2}}$$

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

$$\frac{2x^{1}y^{\frac{5}{4}}}{\left(4x^{\frac{5}{8}}y^{\frac{1}{8}}\right)^{-2}}$$

Tātaihia te x mā te pū o 1, kia riro ko x.

$$\frac{2xy^{\frac{5}{4}}}{\left(4x^{\frac{5}{8}}y^{\frac{1}{8}}\right)^{-2}}$$

Whakarohaina te \left(4x^{\frac{5}{8}}y^{\frac{1}{8}}\right)^{-2}.

$$\frac{2xy^{\frac{5}{4}}}{4^{-2}\left(x^{\frac{5}{8}}\right)^{-2}\left(y^{\frac{1}{8}}\right)^{-2}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te \frac{5}{8} me te -2 kia riro ai te -\frac{5}{4}.

$$\frac{2xy^{\frac{5}{4}}}{4^{-2}x^{-\frac{5}{4}}\left(y^{\frac{1}{8}}\right)^{-2}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te \frac{1}{8} me te -2 kia riro ai te -\frac{1}{4}.

$$\frac{2xy^{\frac{5}{4}}}{4^{-2}x^{-\frac{5}{4}}y^{-\frac{1}{4}}}$$

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

$$\frac{2xy^{\frac{5}{4}}}{\frac{1}{16}x^{-\frac{5}{4}}y^{-\frac{1}{4}}}$$

Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga.

$$\frac{2y^{\frac{3}{2}}x^{\frac{9}{4}}}{\frac{1}{16}}$$

Whakawehe 2y^{\frac{3}{2}}x^{\frac{9}{4}} ki te \frac{1}{16} mā te whakarea 2y^{\frac{3}{2}}x^{\frac{9}{4}} ki te tau huripoki o \frac{1}{16}.

$$2y^{\frac{3}{2}}x^{\frac{9}{4}}\times 16$$

Whakareatia te 2 ki te 16, ka 32.

$$32y^{\frac{3}{2}}x^{\frac{9}{4}}$$

Kimi Pārōnaki e ai ki x

$$72x^{\frac{5}{4}}y^{\frac{3}{2}}$$