Whakaoti i te (3^{3}-2*9):3+{[(4^{3}-2*7-2^2*5):10]^2+1}:5+4^2-7^0

$$( 3 ^ { 3 } - 2 \times 9 ) : 3 + \{ [ ( 4 ^ { 3 } - 2 \times 7 - 2 ^ { 2 } \times 5 ) : 10 ] ^ { 2 } + 1 \} : 5 + 4 ^ { 2 } - 7 ^ { 0 }$$

Aromātai

$$20$$

Ngā Upane Otinga

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

$$\frac{27-2\times 9}{3}+\frac{\left(\frac{4^{3}-2\times 7-2^{2}\times 5}{10}\right)^{2}+1}{5}+4^{2}-7^{0}$$

Whakareatia te 2 ki te 9, ka 18.

$$\frac{27-18}{3}+\frac{\left(\frac{4^{3}-2\times 7-2^{2}\times 5}{10}\right)^{2}+1}{5}+4^{2}-7^{0}$$

Tangohia te 18 i te 27, ka 9.

$$\frac{9}{3}+\frac{\left(\frac{4^{3}-2\times 7-2^{2}\times 5}{10}\right)^{2}+1}{5}+4^{2}-7^{0}$$

Whakawehea te 9 ki te 3, kia riro ko 3.

$$3+\frac{\left(\frac{4^{3}-2\times 7-2^{2}\times 5}{10}\right)^{2}+1}{5}+4^{2}-7^{0}$$

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

$$3+\frac{\left(\frac{64-2\times 7-2^{2}\times 5}{10}\right)^{2}+1}{5}+4^{2}-7^{0}$$

Whakareatia te 2 ki te 7, ka 14.

$$3+\frac{\left(\frac{64-14-2^{2}\times 5}{10}\right)^{2}+1}{5}+4^{2}-7^{0}$$

Tangohia te 14 i te 64, ka 50.

$$3+\frac{\left(\frac{50-2^{2}\times 5}{10}\right)^{2}+1}{5}+4^{2}-7^{0}$$

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

$$3+\frac{\left(\frac{50-4\times 5}{10}\right)^{2}+1}{5}+4^{2}-7^{0}$$

Whakareatia te 4 ki te 5, ka 20.

$$3+\frac{\left(\frac{50-20}{10}\right)^{2}+1}{5}+4^{2}-7^{0}$$

Tangohia te 20 i te 50, ka 30.

$$3+\frac{\left(\frac{30}{10}\right)^{2}+1}{5}+4^{2}-7^{0}$$

Whakawehea te 30 ki te 10, kia riro ko 3.

$$3+\frac{3^{2}+1}{5}+4^{2}-7^{0}$$

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

$$3+\frac{9+1}{5}+4^{2}-7^{0}$$

Tāpirihia te 9 ki te 1, ka 10.

$$3+\frac{10}{5}+4^{2}-7^{0}$$

Whakawehea te 10 ki te 5, kia riro ko 2.

$$3+2+4^{2}-7^{0}$$

Tāpirihia te 3 ki te 2, ka 5.

$$5+4^{2}-7^{0}$$

Tātaihia te 4 mā te pū o 2, kia riro ko 16.

$$5+16-7^{0}$$

Tāpirihia te 5 ki te 16, ka 21.

$$21-7^{0}$$

Tātaihia te 7 mā te pū o 0, kia riro ko 1.

$$21-1$$

Tangohia te 1 i te 21, ka 20.

$$20$$

Tauwehe

$$2^{2}\times 5$$