Whakaoti i te {c}{12-3^{4}*(6^{4}:2^{4})+3^{8}=12}{6^{2}-(4^2)^2:(2^4)=4^2}

$$\left. \begin{array} { c } { 12 - 3 ^ { 4 } \cdot ( 6 ^ { 4 } : 2 ^ { 4 } ) + 3 ^ { 8 } = 12 } \\ { 6 ^ { 2 } - ( 4 ^ { 2 } ) ^ { 2 } : ( 2 ^ { 4 } ) = 4 ^ { 2 } } \end{array} \right.$$

Manatoko

Ngā Upane Otinga

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te 2 kia riro ai te 4.

$$12-3^{4}\times \frac{6^{4}}{2^{4}}+3^{8}=12\text{ and }6^{2}-\frac{4^{4}}{2^{4}}=4^{2}$$

Tātaihia te 3 mā te pū o 4, kia riro ko 81.

$$12-81\times \frac{6^{4}}{2^{4}}+3^{8}=12\text{ and }6^{2}-\frac{4^{4}}{2^{4}}=4^{2}$$

Tātaihia te 6 mā te pū o 4, kia riro ko 1296.

$$12-81\times \frac{1296}{2^{4}}+3^{8}=12\text{ and }6^{2}-\frac{4^{4}}{2^{4}}=4^{2}$$

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

$$12-81\times \frac{1296}{16}+3^{8}=12\text{ and }6^{2}-\frac{4^{4}}{2^{4}}=4^{2}$$

Whakawehea te 1296 ki te 16, kia riro ko 81.

$$12-81\times 81+3^{8}=12\text{ and }6^{2}-\frac{4^{4}}{2^{4}}=4^{2}$$

Whakareatia te 81 ki te 81, ka 6561.

$$12-6561+3^{8}=12\text{ and }6^{2}-\frac{4^{4}}{2^{4}}=4^{2}$$

Tangohia te 6561 i te 12, ka -6549.

$$-6549+3^{8}=12\text{ and }6^{2}-\frac{4^{4}}{2^{4}}=4^{2}$$

Tātaihia te 3 mā te pū o 8, kia riro ko 6561.

$$-6549+6561=12\text{ and }6^{2}-\frac{4^{4}}{2^{4}}=4^{2}$$

Tāpirihia te -6549 ki te 6561, ka 12.

$$12=12\text{ and }6^{2}-\frac{4^{4}}{2^{4}}=4^{2}$$

Whakatauritea te 12 me te 12.

$$\text{true}\text{ and }6^{2}-\frac{4^{4}}{2^{4}}=4^{2}$$

Tātaihia te 6 mā te pū o 2, kia riro ko 36.

$$\text{true}\text{ and }36-\frac{4^{4}}{2^{4}}=4^{2}$$

Tātaihia te 4 mā te pū o 4, kia riro ko 256.

$$\text{true}\text{ and }36-\frac{256}{2^{4}}=4^{2}$$

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

$$\text{true}\text{ and }36-\frac{256}{16}=4^{2}$$

Whakawehea te 256 ki te 16, kia riro ko 16.

$$\text{true}\text{ and }36-16=4^{2}$$

Tangohia te 16 i te 36, ka 20.

$$\text{true}\text{ and }20=4^{2}$$

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

$$\text{true}\text{ and }20=16$$

Whakatauritea te 20 me te 16.

$$\text{true}\text{ and }\text{false}$$

Ko te kōmititanga tōrunga o \text{true} me \text{false} ko \text{false}.

$$\text{false}$$