Whakaoti i te (2a^2/3b)^-2(3/a)^-3

$$( \frac { 2 a ^ { 2 } } { 3 b } ) ^ { - 2 } ( \frac { 3 } { a } ) ^ { - 3 }$$

Aromātai

$$\frac{b^{2}}{12a}$$

Ngā Upane Otinga

Kia whakarewa i te \frac{2a^{2}}{3b} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{\left(2a^{2}\right)^{-2}}{\left(3b\right)^{-2}}\times \left(\frac{3}{a}\right)^{-3}$$

Kia whakarewa i te \frac{3}{a} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{\left(2a^{2}\right)^{-2}}{\left(3b\right)^{-2}}\times \frac{3^{-3}}{a^{-3}}$$

Me whakarea te \frac{\left(2a^{2}\right)^{-2}}{\left(3b\right)^{-2}} ki te \frac{3^{-3}}{a^{-3}} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\left(2a^{2}\right)^{-2}\times 3^{-3}}{\left(3b\right)^{-2}a^{-3}}$$

Whakarohaina te \left(2a^{2}\right)^{-2}.

$$\frac{2^{-2}\left(a^{2}\right)^{-2}\times 3^{-3}}{\left(3b\right)^{-2}a^{-3}}$$

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

$$\frac{2^{-2}a^{-4}\times 3^{-3}}{\left(3b\right)^{-2}a^{-3}}$$

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

$$\frac{\frac{1}{4}a^{-4}\times 3^{-3}}{\left(3b\right)^{-2}a^{-3}}$$

Tātaihia te 3 mā te pū o -3, kia riro ko \frac{1}{27}.

$$\frac{\frac{1}{4}a^{-4}\times \frac{1}{27}}{\left(3b\right)^{-2}a^{-3}}$$

Whakareatia te \frac{1}{4} ki te \frac{1}{27}, ka \frac{1}{108}.

$$\frac{\frac{1}{108}a^{-4}}{\left(3b\right)^{-2}a^{-3}}$$

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

$$\frac{\frac{1}{108}a^{-4}}{3^{-2}b^{-2}a^{-3}}$$

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

$$\frac{\frac{1}{108}a^{-4}}{\frac{1}{9}b^{-2}a^{-3}}$$

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

$$\frac{\frac{1}{108}}{\frac{1}{9}b^{-2}a^{1}}$$

Tuhia te \frac{\frac{1}{108}}{\frac{1}{9}b^{-2}a^{1}} hei hautanga kotahi.

$$\frac{1}{108\times \frac{1}{9}b^{-2}a^{1}}$$

Whakareatia te 108 ki te \frac{1}{9}, ka 12.

$$\frac{1}{12b^{-2}a^{1}}$$

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

$$\frac{1}{12b^{-2}a}$$

Whakaroha

$$\frac{b^{2}}{12a}$$

Ngā Upane Otinga

Kia whakarewa i te \frac{2a^{2}}{3b} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{\left(2a^{2}\right)^{-2}}{\left(3b\right)^{-2}}\times \left(\frac{3}{a}\right)^{-3}$$

Kia whakarewa i te \frac{3}{a} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{\left(2a^{2}\right)^{-2}}{\left(3b\right)^{-2}}\times \frac{3^{-3}}{a^{-3}}$$

Me whakarea te \frac{\left(2a^{2}\right)^{-2}}{\left(3b\right)^{-2}} ki te \frac{3^{-3}}{a^{-3}} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\left(2a^{2}\right)^{-2}\times 3^{-3}}{\left(3b\right)^{-2}a^{-3}}$$

Whakarohaina te \left(2a^{2}\right)^{-2}.

$$\frac{2^{-2}\left(a^{2}\right)^{-2}\times 3^{-3}}{\left(3b\right)^{-2}a^{-3}}$$

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

$$\frac{2^{-2}a^{-4}\times 3^{-3}}{\left(3b\right)^{-2}a^{-3}}$$

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

$$\frac{\frac{1}{4}a^{-4}\times 3^{-3}}{\left(3b\right)^{-2}a^{-3}}$$

Tātaihia te 3 mā te pū o -3, kia riro ko \frac{1}{27}.

$$\frac{\frac{1}{4}a^{-4}\times \frac{1}{27}}{\left(3b\right)^{-2}a^{-3}}$$

Whakareatia te \frac{1}{4} ki te \frac{1}{27}, ka \frac{1}{108}.

$$\frac{\frac{1}{108}a^{-4}}{\left(3b\right)^{-2}a^{-3}}$$

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

$$\frac{\frac{1}{108}a^{-4}}{3^{-2}b^{-2}a^{-3}}$$

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

$$\frac{\frac{1}{108}a^{-4}}{\frac{1}{9}b^{-2}a^{-3}}$$

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

$$\frac{\frac{1}{108}}{\frac{1}{9}b^{-2}a^{1}}$$

Tuhia te \frac{\frac{1}{108}}{\frac{1}{9}b^{-2}a^{1}} hei hautanga kotahi.

$$\frac{1}{108\times \frac{1}{9}b^{-2}a^{1}}$$

Whakareatia te 108 ki te \frac{1}{9}, ka 12.

$$\frac{1}{12b^{-2}a^{1}}$$

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

$$\frac{1}{12b^{-2}a}$$