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

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

Manatoko

Ngā Upane Otinga

Whakareatia te 4 ki te 20, ka 80.

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

Tāpirihia te 80 ki te 1, ka 81.

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

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

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

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

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

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

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

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

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

Ko te maha noa iti rawa atu o 4 me 8 ko 8. Me tahuri \frac{2025}{4} me -\frac{1}{8} ki te hautau me te tautūnga 8.

$$\frac{4050}{8}=-\frac{1}{8}\text{ and }\left(-\frac{1}{2}\right)^{3}=-10\left(-\frac{1}{3}\right)^{5}\times 0\times 1^{2}$$

Whakatauritea te \frac{4050}{8} me te -\frac{1}{8}.

$$\text{false}\text{ and }\left(-\frac{1}{2}\right)^{3}=-10\left(-\frac{1}{3}\right)^{5}\times 0\times 1^{2}$$

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

$$\text{false}\text{ and }-\frac{1}{8}=-10\left(-\frac{1}{3}\right)^{5}\times 0\times 1^{2}$$

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

$$\text{false}\text{ and }-\frac{1}{8}=-10\left(-\frac{1}{243}\right)\times 0\times 1^{2}$$

Tuhia te -10\left(-\frac{1}{243}\right) hei hautanga kotahi.

$$\text{false}\text{ and }-\frac{1}{8}=\frac{-10\left(-1\right)}{243}\times 0\times 1^{2}$$

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

$$\text{false}\text{ and }-\frac{1}{8}=\frac{10}{243}\times 0\times 1^{2}$$

Whakareatia te \frac{10}{243} ki te 0, ka 0.

$$\text{false}\text{ and }-\frac{1}{8}=0\times 1^{2}$$

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

$$\text{false}\text{ and }-\frac{1}{8}=0\times 1$$

Whakareatia te 0 ki te 1, ka 0.

$$\text{false}\text{ and }-\frac{1}{8}=0$$

Whakatauritea te -\frac{1}{8} me te 0.

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

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

$$\text{false}$$