Whakaoti i te [(-2)^4]^3*5^12:(-10)^10

$$[ ( - 2 ) ^ { 4 } ] ^ { 3 } \times 5 ^ { 12 } : ( - 10 ) ^ { 10 }$$

Aromātai

$$100$$

Ngā Upane Otinga

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 4 me te 3 kia riro ai te 12.

$$\frac{\left(-2\right)^{12}\times 5^{12}}{\left(-10\right)^{10}}$$

Tātaihia te -2 mā te pū o 12, kia riro ko 4096.

$$\frac{4096\times 5^{12}}{\left(-10\right)^{10}}$$

Tātaihia te 5 mā te pū o 12, kia riro ko 244140625.

$$\frac{4096\times 244140625}{\left(-10\right)^{10}}$$

Whakareatia te 4096 ki te 244140625, ka 1000000000000.

$$\frac{1000000000000}{\left(-10\right)^{10}}$$

Tātaihia te -10 mā te pū o 10, kia riro ko 10000000000.

$$\frac{1000000000000}{10000000000}$$

Whakawehea te 1000000000000 ki te 10000000000, kia riro ko 100.

$$100$$

Tauwehe

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