Whakaoti i te a^7b^6diva^5b/3c*(3c/b)^2

$$a ^ { 7 } b ^ { 6 } \div \frac { a ^ { 5 } b } { 3 c } \times ( \frac { 3 c } { b } ) ^ { 2 }$$

Aromātai

$$27a^{2}\left(bc\right)^{3}$$

Ngā Upane Otinga

Whakawehe a^{7}b^{6} ki te \frac{a^{5}b}{3c} mā te whakarea a^{7}b^{6} ki te tau huripoki o \frac{a^{5}b}{3c}.

$$\frac{a^{7}b^{6}\times 3c}{a^{5}b}\times \left(\frac{3c}{b}\right)^{2}$$

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

$$3ca^{2}b^{5}\times \left(\frac{3c}{b}\right)^{2}$$

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

$$3ca^{2}b^{5}\times \frac{\left(3c\right)^{2}}{b^{2}}$$

Tuhia te 3\times \frac{\left(3c\right)^{2}}{b^{2}} hei hautanga kotahi.

$$\frac{3\times \left(3c\right)^{2}}{b^{2}}ca^{2}b^{5}$$

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

$$\frac{3\times 3^{2}c^{2}}{b^{2}}ca^{2}b^{5}$$

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

$$\frac{3\times 9c^{2}}{b^{2}}ca^{2}b^{5}$$

Whakareatia te 3 ki te 9, ka 27.

$$\frac{27c^{2}}{b^{2}}ca^{2}b^{5}$$

Tuhia te \frac{27c^{2}}{b^{2}}c hei hautanga kotahi.

$$\frac{27c^{2}c}{b^{2}}a^{2}b^{5}$$

Tuhia te \frac{27c^{2}c}{b^{2}}a^{2} hei hautanga kotahi.

$$\frac{27c^{2}ca^{2}}{b^{2}}b^{5}$$

Tuhia te \frac{27c^{2}ca^{2}}{b^{2}}b^{5} hei hautanga kotahi.

$$\frac{27c^{2}ca^{2}b^{5}}{b^{2}}$$

Me whakakore tahi te b^{2} i te taurunga me te tauraro.

$$27ca^{2}c^{2}b^{3}$$

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

$$27c^{3}a^{2}b^{3}$$

Whakaroha

$$27a^{2}\left(bc\right)^{3}$$

Ngā Upane Otinga

Whakawehe a^{7}b^{6} ki te \frac{a^{5}b}{3c} mā te whakarea a^{7}b^{6} ki te tau huripoki o \frac{a^{5}b}{3c}.

$$\frac{a^{7}b^{6}\times 3c}{a^{5}b}\times \left(\frac{3c}{b}\right)^{2}$$

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

$$3ca^{2}b^{5}\times \left(\frac{3c}{b}\right)^{2}$$

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

$$3ca^{2}b^{5}\times \frac{\left(3c\right)^{2}}{b^{2}}$$

Tuhia te 3\times \frac{\left(3c\right)^{2}}{b^{2}} hei hautanga kotahi.

$$\frac{3\times \left(3c\right)^{2}}{b^{2}}ca^{2}b^{5}$$

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

$$\frac{3\times 3^{2}c^{2}}{b^{2}}ca^{2}b^{5}$$

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

$$\frac{3\times 9c^{2}}{b^{2}}ca^{2}b^{5}$$

Whakareatia te 3 ki te 9, ka 27.

$$\frac{27c^{2}}{b^{2}}ca^{2}b^{5}$$

Tuhia te \frac{27c^{2}}{b^{2}}c hei hautanga kotahi.

$$\frac{27c^{2}c}{b^{2}}a^{2}b^{5}$$

Tuhia te \frac{27c^{2}c}{b^{2}}a^{2} hei hautanga kotahi.

$$\frac{27c^{2}ca^{2}}{b^{2}}b^{5}$$

Tuhia te \frac{27c^{2}ca^{2}}{b^{2}}b^{5} hei hautanga kotahi.

$$\frac{27c^{2}ca^{2}b^{5}}{b^{2}}$$

Me whakakore tahi te b^{2} i te taurunga me te tauraro.

$$27ca^{2}c^{2}b^{3}$$

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

$$27c^{3}a^{2}b^{3}$$