Whakaoti i te w^{10}x^5divw^3x/2y^4*(4y/x)^3

$$w ^ { 10 } x ^ { 5 } \div \frac { w ^ { 3 } x } { 2 y ^ { 4 } } \times ( \frac { 4 y } { x } ) ^ { 3 }$$

Aromātai

$$128x\left(wy\right)^{7}$$

Ngā Upane Otinga

Whakawehe w^{10}x^{5} ki te \frac{w^{3}x}{2y^{4}} mā te whakarea w^{10}x^{5} ki te tau huripoki o \frac{w^{3}x}{2y^{4}}.

$$\frac{w^{10}x^{5}\times 2y^{4}}{w^{3}x}\times \left(\frac{4y}{x}\right)^{3}$$

Me whakakore tahi te xw^{3} i te taurunga me te tauraro.

$$2x^{4}y^{4}w^{7}\times \left(\frac{4y}{x}\right)^{3}$$

Kia whakarewa i te \frac{4y}{x} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$2x^{4}y^{4}w^{7}\times \frac{\left(4y\right)^{3}}{x^{3}}$$

Tuhia te 2\times \frac{\left(4y\right)^{3}}{x^{3}} hei hautanga kotahi.

$$\frac{2\times \left(4y\right)^{3}}{x^{3}}x^{4}y^{4}w^{7}$$

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

$$\frac{2\times 4^{3}y^{3}}{x^{3}}x^{4}y^{4}w^{7}$$

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

$$\frac{2\times 64y^{3}}{x^{3}}x^{4}y^{4}w^{7}$$

Whakareatia te 2 ki te 64, ka 128.

$$\frac{128y^{3}}{x^{3}}x^{4}y^{4}w^{7}$$

Tuhia te \frac{128y^{3}}{x^{3}}x^{4} hei hautanga kotahi.

$$\frac{128y^{3}x^{4}}{x^{3}}y^{4}w^{7}$$

Me whakakore tahi te x^{3} i te taurunga me te tauraro.

$$128xy^{3}y^{4}w^{7}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te 4 kia riro ai te 7.

$$128xy^{7}w^{7}$$

Whakaroha

$$128x\left(wy\right)^{7}$$

Ngā Upane Otinga

Whakawehe w^{10}x^{5} ki te \frac{w^{3}x}{2y^{4}} mā te whakarea w^{10}x^{5} ki te tau huripoki o \frac{w^{3}x}{2y^{4}}.

$$\frac{w^{10}x^{5}\times 2y^{4}}{w^{3}x}\times \left(\frac{4y}{x}\right)^{3}$$

Me whakakore tahi te xw^{3} i te taurunga me te tauraro.

$$2x^{4}y^{4}w^{7}\times \left(\frac{4y}{x}\right)^{3}$$

Kia whakarewa i te \frac{4y}{x} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$2x^{4}y^{4}w^{7}\times \frac{\left(4y\right)^{3}}{x^{3}}$$

Tuhia te 2\times \frac{\left(4y\right)^{3}}{x^{3}} hei hautanga kotahi.

$$\frac{2\times \left(4y\right)^{3}}{x^{3}}x^{4}y^{4}w^{7}$$

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

$$\frac{2\times 4^{3}y^{3}}{x^{3}}x^{4}y^{4}w^{7}$$

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

$$\frac{2\times 64y^{3}}{x^{3}}x^{4}y^{4}w^{7}$$

Whakareatia te 2 ki te 64, ka 128.

$$\frac{128y^{3}}{x^{3}}x^{4}y^{4}w^{7}$$

Tuhia te \frac{128y^{3}}{x^{3}}x^{4} hei hautanga kotahi.

$$\frac{128y^{3}x^{4}}{x^{3}}y^{4}w^{7}$$

Me whakakore tahi te x^{3} i te taurunga me te tauraro.

$$128xy^{3}y^{4}w^{7}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te 4 kia riro ai te 7.

$$128xy^{7}w^{7}$$