Whakaoti i te (4x^3y^4)^3/5^-2xy=

$$\frac { ( 4 x ^ { 3 } y ^ { 4 } ) ^ { 3 } } { 5 ^ { - 2 } x y } =$$

Aromātai

$$1600x^{8}y^{11}$$

Ngā Upane Otinga

Whakarohaina te \left(4x^{3}y^{4}\right)^{3}.

$$\frac{4^{3}\left(x^{3}\right)^{3}\left(y^{4}\right)^{3}}{5^{-2}xy}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te 3 kia riro ai te 9.

$$\frac{4^{3}x^{9}\left(y^{4}\right)^{3}}{5^{-2}xy}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 4 me te 3 kia riro ai te 12.

$$\frac{4^{3}x^{9}y^{12}}{5^{-2}xy}$$

Tātaihia te 4 mā te pū o 3, kia riro ko 64.

$$\frac{64x^{9}y^{12}}{5^{-2}xy}$$

Tātaihia te 5 mā te pū o -2, kia riro ko \frac{1}{25}.

$$\frac{64x^{9}y^{12}}{\frac{1}{25}xy}$$

Me whakakore tahi te xy i te taurunga me te tauraro.

$$\frac{64x^{8}y^{11}}{\frac{1}{25}}$$

Whakawehe 64x^{8}y^{11} ki te \frac{1}{25} mā te whakarea 64x^{8}y^{11} ki te tau huripoki o \frac{1}{25}.

$$64x^{8}y^{11}\times 25$$

Whakareatia te 64 ki te 25, ka 1600.

$$1600x^{8}y^{11}$$

Whakaroha

$$1600x^{8}y^{11}$$

Ngā Upane Otinga

Whakarohaina te \left(4x^{3}y^{4}\right)^{3}.

$$\frac{4^{3}\left(x^{3}\right)^{3}\left(y^{4}\right)^{3}}{5^{-2}xy}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te 3 kia riro ai te 9.

$$\frac{4^{3}x^{9}\left(y^{4}\right)^{3}}{5^{-2}xy}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 4 me te 3 kia riro ai te 12.

$$\frac{4^{3}x^{9}y^{12}}{5^{-2}xy}$$

Tātaihia te 4 mā te pū o 3, kia riro ko 64.

$$\frac{64x^{9}y^{12}}{5^{-2}xy}$$

Tātaihia te 5 mā te pū o -2, kia riro ko \frac{1}{25}.

$$\frac{64x^{9}y^{12}}{\frac{1}{25}xy}$$

Me whakakore tahi te xy i te taurunga me te tauraro.

$$\frac{64x^{8}y^{11}}{\frac{1}{25}}$$

Whakawehe 64x^{8}y^{11} ki te \frac{1}{25} mā te whakarea 64x^{8}y^{11} ki te tau huripoki o \frac{1}{25}.

$$64x^{8}y^{11}\times 25$$

Whakareatia te 64 ki te 25, ka 1600.

$$1600x^{8}y^{11}$$