Whakaoti i te (3^{2}*2)^{2}:(3^{2}*2)+[3^{3}*2:(2*7^{2}:7+2^2)]^3:3^3+2^2*2

$$( 3 ^ { 2 } \times 2 ) ^ { 2 } : ( 3 ^ { 2 } \times 2 ) + [ 3 ^ { 3 } \times 2 : ( 2 \times 7 ^ { 2 } : 7 + 2 ^ { 2 } ) ] ^ { 3 } : 3 ^ { 3 } + 2 ^ { 2 } \times 2$$

Aromātai

$$27$$

Ngā Upane Otinga

Hei whakawehe ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga. Me tango te 1 i te 2 kia riro ai te 1.

$$\left(3^{2}\times 2\right)^{1}+\frac{\left(\frac{3^{3}\times 2}{\frac{2\times 7^{2}}{7}+2^{2}}\right)^{3}}{3^{3}}+2^{2}\times 2$$

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

$$\left(3^{2}\times 2\right)^{1}+\frac{\left(\frac{3^{3}\times 2}{\frac{2\times 7^{2}}{7}+2^{2}}\right)^{3}}{3^{3}}+2^{3}$$

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

$$\left(9\times 2\right)^{1}+\frac{\left(\frac{3^{3}\times 2}{\frac{2\times 7^{2}}{7}+2^{2}}\right)^{3}}{3^{3}}+2^{3}$$

Whakareatia te 9 ki te 2, ka 18.

$$18^{1}+\frac{\left(\frac{3^{3}\times 2}{\frac{2\times 7^{2}}{7}+2^{2}}\right)^{3}}{3^{3}}+2^{3}$$

Tātaihia te 18 mā te pū o 1, kia riro ko 18.

$$18+\frac{\left(\frac{3^{3}\times 2}{\frac{2\times 7^{2}}{7}+2^{2}}\right)^{3}}{3^{3}}+2^{3}$$

Tātaihia te 3 mā te pū o 3, kia riro ko 27.

$$18+\frac{\left(\frac{27\times 2}{\frac{2\times 7^{2}}{7}+2^{2}}\right)^{3}}{3^{3}}+2^{3}$$

Whakareatia te 27 ki te 2, ka 54.

$$18+\frac{\left(\frac{54}{\frac{2\times 7^{2}}{7}+2^{2}}\right)^{3}}{3^{3}}+2^{3}$$

Tātaihia te 7 mā te pū o 2, kia riro ko 49.

$$18+\frac{\left(\frac{54}{\frac{2\times 49}{7}+2^{2}}\right)^{3}}{3^{3}}+2^{3}$$

Whakareatia te 2 ki te 49, ka 98.

$$18+\frac{\left(\frac{54}{\frac{98}{7}+2^{2}}\right)^{3}}{3^{3}}+2^{3}$$

Whakawehea te 98 ki te 7, kia riro ko 14.

$$18+\frac{\left(\frac{54}{14+2^{2}}\right)^{3}}{3^{3}}+2^{3}$$

Tātaihia te 2 mā te pū o 2, kia riro ko 4.

$$18+\frac{\left(\frac{54}{14+4}\right)^{3}}{3^{3}}+2^{3}$$

Tāpirihia te 14 ki te 4, ka 18.

$$18+\frac{\left(\frac{54}{18}\right)^{3}}{3^{3}}+2^{3}$$

Whakawehea te 54 ki te 18, kia riro ko 3.

$$18+\frac{3^{3}}{3^{3}}+2^{3}$$

Tātaihia te 3 mā te pū o 3, kia riro ko 27.

$$18+\frac{27}{3^{3}}+2^{3}$$

Tātaihia te 3 mā te pū o 3, kia riro ko 27.

$$18+\frac{27}{27}+2^{3}$$

Whakawehea te 27 ki te 27, kia riro ko 1.

$$18+1+2^{3}$$

Tāpirihia te 18 ki te 1, ka 19.

$$19+2^{3}$$

Tātaihia te 2 mā te pū o 3, kia riro ko 8.

$$19+8$$

Tāpirihia te 19 ki te 8, ka 27.

$$27$$

Tauwehe

$$3^{3}$$