Whakaoti i te (-1)^4-(1-0.5)*1/3*[2-(-2)^2]

$$( - 1 ) ^ { 4 } - ( 1 - 0.5 ) \times \frac { 1 } { 3 } \times [ 2 - ( - 2 ) ^ { 2 } ]$$

Aromātai

$$\frac{4}{3}\approx 1.333333333$$

Ngā Upane Otinga

Tātaihia te -1 mā te pū o 4, kia riro ko 1.

$$1-\left(1-0.5\right)\times \frac{1}{3}\left(2-\left(-2\right)^{2}\right)$$

Tangohia te 0.5 i te 1, ka 0.5.

$$1-0.5\times \frac{1}{3}\left(2-\left(-2\right)^{2}\right)$$

Me tahuri ki tau ā-ira 0.5 ki te hautau \frac{5}{10}. Whakahekea te hautanga \frac{5}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

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

Me whakarea te \frac{1}{2} ki te \frac{1}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Mahia ngā whakarea i roto i te hautanga \frac{1\times 1}{2\times 3}.

$$1-\frac{1}{6}\left(2-\left(-2\right)^{2}\right)$$

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

$$1-\frac{1}{6}\left(2-4\right)$$

Tangohia te 4 i te 2, ka -2.

$$1-\frac{1}{6}\left(-2\right)$$

Whakareatia te \frac{1}{6} ki te -2, ka \frac{-2}{6}.

$$1-\frac{-2}{6}$$

Whakahekea te hautanga \frac{-2}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$1-\left(-\frac{1}{3}\right)$$

Ko te tauaro o -\frac{1}{3} ko \frac{1}{3}.

$$1+\frac{1}{3}$$

Me tahuri te 1 ki te hautau \frac{3}{3}.

$$\frac{3}{3}+\frac{1}{3}$$

Tā te mea he rite te tauraro o \frac{3}{3} me \frac{1}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3+1}{3}$$

Tāpirihia te 3 ki te 1, ka 4.

$$\frac{4}{3}$$

Tauwehe

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$