Whakaoti i te frac{(-12)^{4}(-45)^{3}*70^2}{(-60)^3-18^2(-45)^4}

$$\frac { ( - 12 ) ^ { 4 } ( - 45 ) ^ { 3 } \cdot 70 ^ { 2 } } { ( - 60 ) ^ { 3 } - 18 ^ { 2 } ( - 45 ) ^ { 4 } }$$

Aromātai

$$\frac{685843200}{98431}\approx 6967.756093101$$

Ngā Upane Otinga

Tātaihia te -12 mā te pū o 4, kia riro ko 20736.

$$\frac{20736\left(-45\right)^{3}\times 70^{2}}{\left(-60\right)^{3}-18^{2}\left(-45\right)^{4}}$$

Tātaihia te -45 mā te pū o 3, kia riro ko -91125.

$$\frac{20736\left(-91125\right)\times 70^{2}}{\left(-60\right)^{3}-18^{2}\left(-45\right)^{4}}$$

Whakareatia te 20736 ki te -91125, ka -1889568000.

$$\frac{-1889568000\times 70^{2}}{\left(-60\right)^{3}-18^{2}\left(-45\right)^{4}}$$

Tātaihia te 70 mā te pū o 2, kia riro ko 4900.

$$\frac{-1889568000\times 4900}{\left(-60\right)^{3}-18^{2}\left(-45\right)^{4}}$$

Whakareatia te -1889568000 ki te 4900, ka -9258883200000.

$$\frac{-9258883200000}{\left(-60\right)^{3}-18^{2}\left(-45\right)^{4}}$$

Tātaihia te -60 mā te pū o 3, kia riro ko -216000.

$$\frac{-9258883200000}{-216000-18^{2}\left(-45\right)^{4}}$$

Tātaihia te 18 mā te pū o 2, kia riro ko 324.

$$\frac{-9258883200000}{-216000-324\left(-45\right)^{4}}$$

Tātaihia te -45 mā te pū o 4, kia riro ko 4100625.

$$\frac{-9258883200000}{-216000-324\times 4100625}$$

Whakareatia te 324 ki te 4100625, ka 1328602500.

$$\frac{-9258883200000}{-216000-1328602500}$$

Tangohia te 1328602500 i te -216000, ka -1328818500.

$$\frac{-9258883200000}{-1328818500}$$

Whakahekea te hautanga \frac{-9258883200000}{-1328818500} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -13500.

$$\frac{685843200}{98431}$$

Tauwehe

$$\frac{2 ^ {8} \cdot 3 ^ {7} \cdot 5 ^ {2} \cdot 7 ^ {2}}{257 \cdot 383} = 6967\frac{74423}{98431} = 6967.756093100751$$