Whakaoti i te (-41/20)*(-125)div(-1/2)^3div(-10)*(-1/3)^5*(-01^2)

$$( - 4 \frac { 1 } { 20 } ) \times ( - 125 ) \div ( - \frac { 1 } { 2 } ) ^ { 3 } \div ( - 10 ) \times ( - \frac { 1 } { 3 } ) ^ { 5 } \times ( - 01 ^ { 2 } )$$

Aromātai

$$0$$

Ngā Upane Otinga

Tuhia te \frac{\frac{\left(-\frac{4\times 20+1}{20}\right)\left(-125\right)}{\left(-\frac{1}{2}\right)^{3}}}{-10} hei hautanga kotahi.

$$\frac{\left(-\frac{4\times 20+1}{20}\right)\left(-125\right)}{\left(-\frac{1}{2}\right)^{3}\left(-10\right)}\left(-\frac{1}{3}\right)^{5}\times 0\times 1^{2}$$

Whakareatia te 4 ki te 20, ka 80.

$$\frac{\left(-\frac{80+1}{20}\right)\left(-125\right)}{\left(-\frac{1}{2}\right)^{3}\left(-10\right)}\left(-\frac{1}{3}\right)^{5}\times 0\times 1^{2}$$

Tāpirihia te 80 ki te 1, ka 81.

$$\frac{-\frac{81}{20}\left(-125\right)}{\left(-\frac{1}{2}\right)^{3}\left(-10\right)}\left(-\frac{1}{3}\right)^{5}\times 0\times 1^{2}$$

Tuhia te -\frac{81}{20}\left(-125\right) hei hautanga kotahi.

$$\frac{\frac{-81\left(-125\right)}{20}}{\left(-\frac{1}{2}\right)^{3}\left(-10\right)}\left(-\frac{1}{3}\right)^{5}\times 0\times 1^{2}$$

Whakareatia te -81 ki te -125, ka 10125.

$$\frac{\frac{10125}{20}}{\left(-\frac{1}{2}\right)^{3}\left(-10\right)}\left(-\frac{1}{3}\right)^{5}\times 0\times 1^{2}$$

Whakahekea te hautanga \frac{10125}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{\frac{2025}{4}}{\left(-\frac{1}{2}\right)^{3}\left(-10\right)}\left(-\frac{1}{3}\right)^{5}\times 0\times 1^{2}$$

Tātaihia te -\frac{1}{2} mā te pū o 3, kia riro ko -\frac{1}{8}.

$$\frac{\frac{2025}{4}}{-\frac{1}{8}\left(-10\right)}\left(-\frac{1}{3}\right)^{5}\times 0\times 1^{2}$$

Tuhia te -\frac{1}{8}\left(-10\right) hei hautanga kotahi.

$$\frac{\frac{2025}{4}}{\frac{-\left(-10\right)}{8}}\left(-\frac{1}{3}\right)^{5}\times 0\times 1^{2}$$

Whakareatia te -1 ki te -10, ka 10.

$$\frac{\frac{2025}{4}}{\frac{10}{8}}\left(-\frac{1}{3}\right)^{5}\times 0\times 1^{2}$$

Whakahekea te hautanga \frac{10}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{\frac{2025}{4}}{\frac{5}{4}}\left(-\frac{1}{3}\right)^{5}\times 0\times 1^{2}$$

Whakawehe \frac{2025}{4} ki te \frac{5}{4} mā te whakarea \frac{2025}{4} ki te tau huripoki o \frac{5}{4}.

$$\frac{2025}{4}\times \frac{4}{5}\left(-\frac{1}{3}\right)^{5}\times 0\times 1^{2}$$

Me whakarea te \frac{2025}{4} ki te \frac{4}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{2025\times 4}{4\times 5}\left(-\frac{1}{3}\right)^{5}\times 0\times 1^{2}$$

Me whakakore tahi te 4 i te taurunga me te tauraro.

$$\frac{2025}{5}\left(-\frac{1}{3}\right)^{5}\times 0\times 1^{2}$$

Whakawehea te 2025 ki te 5, kia riro ko 405.

$$405\left(-\frac{1}{3}\right)^{5}\times 0\times 1^{2}$$

Tātaihia te -\frac{1}{3} mā te pū o 5, kia riro ko -\frac{1}{243}.

$$405\left(-\frac{1}{243}\right)\times 0\times 1^{2}$$

Tuhia te 405\left(-\frac{1}{243}\right) hei hautanga kotahi.

$$\frac{405\left(-1\right)}{243}\times 0\times 1^{2}$$

Whakareatia te 405 ki te -1, ka -405.

$$\frac{-405}{243}\times 0\times 1^{2}$$

Whakahekea te hautanga \frac{-405}{243} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 81.

$$-\frac{5}{3}\times 0\times 1^{2}$$

Whakareatia te -\frac{5}{3} ki te 0, ka 0.

$$0\times 1^{2}$$

Tātaihia te 1 mā te pū o 2, kia riro ko 1.

$$0\times 1$$

Whakareatia te 0 ki te 1, ka 0.

$$0$$

Tauwehe

$$0$$