Whakaoti i te 10*[(12^2:3^2):2^2]=40

$$10 \cdot [ ( 12 ^ { 2 } : 3 ^ { 2 } ) : 2 ^ { 2 } ] = 40$$

Manatoko

Ngā Upane Otinga

Tātaihia te 12 mā te pū o 2, kia riro ko 144.

$$10\times \frac{\frac{144}{3^{2}}}{2^{2}}=40$$

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

$$10\times \frac{\frac{144}{9}}{2^{2}}=40$$

Whakawehea te 144 ki te 9, kia riro ko 16.

$$10\times \frac{16}{2^{2}}=40$$

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

$$10\times \frac{16}{4}=40$$

Whakawehea te 16 ki te 4, kia riro ko 4.

$$10\times 4=40$$

Whakareatia te 10 ki te 4, ka 40.

$$40=40$$

Whakatauritea te 40 me te 40.

$$\text{true}$$