Whakaoti i te frac{(3x^{-1}y^-2)^-2}{(3xy^2)^2}=

$$\frac { ( 3 x ^ { - 1 } y ^ { - 2 } ) ^ { - 2 } } { ( 3 x y ^ { 2 } ) ^ { 2 } } =$$

Aromātai

$$\frac{1}{81}\approx 0.012345679$$

Ngā Upane Otinga

Whakarohaina te \left(3x^{-1}y^{-2}\right)^{-2}.

$$\frac{3^{-2}\left(x^{-1}\right)^{-2}\left(y^{-2}\right)^{-2}}{\left(3xy^{2}\right)^{2}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te -1 me te -2 kia riro ai te 2.

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

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te -2 me te -2 kia riro ai te 4.

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

Tātaihia te 3 mā te pū o -2, kia riro ko \frac{1}{9}.

$$\frac{\frac{1}{9}x^{2}y^{4}}{\left(3xy^{2}\right)^{2}}$$

Whakarohaina te \left(3xy^{2}\right)^{2}.

$$\frac{\frac{1}{9}x^{2}y^{4}}{3^{2}x^{2}\left(y^{2}\right)^{2}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 2 kia riro ai te 4.

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

Tātaihia te 3 mā te pū o 2, kia riro ko 9.

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

Me whakakore tahi te x^{2}y^{4} i te taurunga me te tauraro.

$$\frac{\frac{1}{9}}{9}$$

Tuhia te \frac{\frac{1}{9}}{9} hei hautanga kotahi.

$$\frac{1}{9\times 9}$$

Whakareatia te 9 ki te 9, ka 81.

$$\frac{1}{81}$$

Tauwehe

$$\frac{1}{3 ^ {4}} = 0.012345679012345678$$