Whakaoti i te 7+7*2+(-3)/2!*4+-5/3!2^3

$$7 + 7 \times 2 + \frac { ( - 3 ) } { 2 ! } \cdot 4 + \frac { - 5 } { 3 ! } 2 ^ { 3 }$$

Aromātai

$$\frac{25}{3}\approx 8.333333333$$

Ngā Upane Otinga

Whakareatia te 7 ki te 2, ka 14.

$$7+14+\frac{-3}{2!}\times 4+\frac{-5}{3!}\times 2^{3}$$

Tāpirihia te 7 ki te 14, ka 21.

$$21+\frac{-3}{2!}\times 4+\frac{-5}{3!}\times 2^{3}$$

Ko te huarea o 2 ko 2.

$$21+\frac{-3}{2}\times 4+\frac{-5}{3!}\times 2^{3}$$

Ka taea te hautanga \frac{-3}{2} te tuhi anō ko -\frac{3}{2} mā te tango i te tohu tōraro.

$$21-\frac{3}{2}\times 4+\frac{-5}{3!}\times 2^{3}$$

Tuhia te -\frac{3}{2}\times 4 hei hautanga kotahi.

$$21+\frac{-3\times 4}{2}+\frac{-5}{3!}\times 2^{3}$$

Whakareatia te -3 ki te 4, ka -12.

$$21+\frac{-12}{2}+\frac{-5}{3!}\times 2^{3}$$

Whakawehea te -12 ki te 2, kia riro ko -6.

$$21-6+\frac{-5}{3!}\times 2^{3}$$

Tangohia te 6 i te 21, ka 15.

$$15+\frac{-5}{3!}\times 2^{3}$$

Ko te huarea o 3 ko 6.

$$15+\frac{-5}{6}\times 2^{3}$$

Ka taea te hautanga \frac{-5}{6} te tuhi anō ko -\frac{5}{6} mā te tango i te tohu tōraro.

$$15-\frac{5}{6}\times 2^{3}$$

Tātaihia te 2 mā te pū o 3, kia riro ko 8.

$$15-\frac{5}{6}\times 8$$

Tuhia te -\frac{5}{6}\times 8 hei hautanga kotahi.

$$15+\frac{-5\times 8}{6}$$

Whakareatia te -5 ki te 8, ka -40.

$$15+\frac{-40}{6}$$

Whakahekea te hautanga \frac{-40}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$15-\frac{20}{3}$$

Me tahuri te 15 ki te hautau \frac{45}{3}.

$$\frac{45}{3}-\frac{20}{3}$$

Tā te mea he rite te tauraro o \frac{45}{3} me \frac{20}{3}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{45-20}{3}$$

Tangohia te 20 i te 45, ka 25.

$$\frac{25}{3}$$

Tauwehe

$$\frac{5 ^ {2}}{3} = 8\frac{1}{3} = 8.333333333333334$$