Whakaoti i te (frac{3a^{2}c^{5}}{-4ac^6})^-2*(5a/c^3)^3

$$( \frac { 3 a ^ { 2 } c ^ { 5 } } { - 4 a c ^ { 6 } } ) ^ { - 2 } \cdot ( \frac { 5 a } { c ^ { 3 } } ) ^ { 3 }$$

Aromātai

$$\frac{2000a}{9c^{7}}$$

Ngā Upane Otinga

Me whakakore tahi te ac^{5} i te taurunga me te tauraro.

$$\left(\frac{3a}{-4c}\right)^{-2}\times \left(\frac{5a}{c^{3}}\right)^{3}$$

Kia whakarewa i te \frac{3a}{-4c} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{\left(3a\right)^{-2}}{\left(-4c\right)^{-2}}\times \left(\frac{5a}{c^{3}}\right)^{3}$$

Kia whakarewa i te \frac{5a}{c^{3}} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{\left(3a\right)^{-2}}{\left(-4c\right)^{-2}}\times \frac{\left(5a\right)^{3}}{\left(c^{3}\right)^{3}}$$

Me whakarea te \frac{\left(3a\right)^{-2}}{\left(-4c\right)^{-2}} ki te \frac{\left(5a\right)^{3}}{\left(c^{3}\right)^{3}} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\left(3a\right)^{-2}\times \left(5a\right)^{3}}{\left(-4c\right)^{-2}\left(c^{3}\right)^{3}}$$

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

$$\frac{\left(3a\right)^{-2}\times \left(5a\right)^{3}}{\left(-4c\right)^{-2}c^{9}}$$

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

$$\frac{3^{-2}a^{-2}\times \left(5a\right)^{3}}{\left(-4c\right)^{-2}c^{9}}$$

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

$$\frac{\frac{1}{9}a^{-2}\times \left(5a\right)^{3}}{\left(-4c\right)^{-2}c^{9}}$$

Whakarohaina te \left(5a\right)^{3}.

$$\frac{\frac{1}{9}a^{-2}\times 5^{3}a^{3}}{\left(-4c\right)^{-2}c^{9}}$$

Tātaihia te 5 mā te pū o 3, kia riro ko 125.

$$\frac{\frac{1}{9}a^{-2}\times 125a^{3}}{\left(-4c\right)^{-2}c^{9}}$$

Whakareatia te \frac{1}{9} ki te 125, ka \frac{125}{9}.

$$\frac{\frac{125}{9}a^{-2}a^{3}}{\left(-4c\right)^{-2}c^{9}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te -2 me te 3 kia riro ai te 1.

$$\frac{\frac{125}{9}a^{1}}{\left(-4c\right)^{-2}c^{9}}$$

Whakarohaina te \left(-4c\right)^{-2}.

$$\frac{\frac{125}{9}a^{1}}{\left(-4\right)^{-2}c^{-2}c^{9}}$$

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

$$\frac{\frac{125}{9}a^{1}}{\frac{1}{16}c^{-2}c^{9}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te -2 me te 9 kia riro ai te 7.

$$\frac{\frac{125}{9}a^{1}}{\frac{1}{16}c^{7}}$$

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

$$\frac{\frac{125}{9}a}{\frac{1}{16}c^{7}}$$

Whakaroha

$$\frac{2000a}{9c^{7}}$$

Ngā Upane Otinga

Me whakakore tahi te ac^{5} i te taurunga me te tauraro.

$$\left(\frac{3a}{-4c}\right)^{-2}\times \left(\frac{5a}{c^{3}}\right)^{3}$$

Kia whakarewa i te \frac{3a}{-4c} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{\left(3a\right)^{-2}}{\left(-4c\right)^{-2}}\times \left(\frac{5a}{c^{3}}\right)^{3}$$

Kia whakarewa i te \frac{5a}{c^{3}} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{\left(3a\right)^{-2}}{\left(-4c\right)^{-2}}\times \frac{\left(5a\right)^{3}}{\left(c^{3}\right)^{3}}$$

Me whakarea te \frac{\left(3a\right)^{-2}}{\left(-4c\right)^{-2}} ki te \frac{\left(5a\right)^{3}}{\left(c^{3}\right)^{3}} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\left(3a\right)^{-2}\times \left(5a\right)^{3}}{\left(-4c\right)^{-2}\left(c^{3}\right)^{3}}$$

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

$$\frac{\left(3a\right)^{-2}\times \left(5a\right)^{3}}{\left(-4c\right)^{-2}c^{9}}$$

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

$$\frac{3^{-2}a^{-2}\times \left(5a\right)^{3}}{\left(-4c\right)^{-2}c^{9}}$$

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

$$\frac{\frac{1}{9}a^{-2}\times \left(5a\right)^{3}}{\left(-4c\right)^{-2}c^{9}}$$

Whakarohaina te \left(5a\right)^{3}.

$$\frac{\frac{1}{9}a^{-2}\times 5^{3}a^{3}}{\left(-4c\right)^{-2}c^{9}}$$

Tātaihia te 5 mā te pū o 3, kia riro ko 125.

$$\frac{\frac{1}{9}a^{-2}\times 125a^{3}}{\left(-4c\right)^{-2}c^{9}}$$

Whakareatia te \frac{1}{9} ki te 125, ka \frac{125}{9}.

$$\frac{\frac{125}{9}a^{-2}a^{3}}{\left(-4c\right)^{-2}c^{9}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te -2 me te 3 kia riro ai te 1.

$$\frac{\frac{125}{9}a^{1}}{\left(-4c\right)^{-2}c^{9}}$$

Whakarohaina te \left(-4c\right)^{-2}.

$$\frac{\frac{125}{9}a^{1}}{\left(-4\right)^{-2}c^{-2}c^{9}}$$

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

$$\frac{\frac{125}{9}a^{1}}{\frac{1}{16}c^{-2}c^{9}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te -2 me te 9 kia riro ai te 7.

$$\frac{\frac{125}{9}a^{1}}{\frac{1}{16}c^{7}}$$

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

$$\frac{\frac{125}{9}a}{\frac{1}{16}c^{7}}$$