Whakaoti i te (-3)^2+21/4*(-2/3)^2+4-2^2*(-1/3)

$$( - 3 ) ^ { 2 } + 2 \frac { 1 } { 4 } \times ( - \frac { 2 } { 3 } ) ^ { 2 } + 4 - 2 ^ { 2 } \times ( - \frac { 1 } { 3 } )$$

Aromātai

$$\frac{46}{3}\approx 15.333333333$$

Ngā Upane Otinga

Tātaihia te -3 mā te pū o 2, kia riro ko 9.

$$9+\frac{2\times 4+1}{4}\left(-\frac{2}{3}\right)^{2}+4-2^{2}\left(-\frac{1}{3}\right)$$

Whakareatia te 2 ki te 4, ka 8.

$$9+\frac{8+1}{4}\left(-\frac{2}{3}\right)^{2}+4-2^{2}\left(-\frac{1}{3}\right)$$

Tāpirihia te 8 ki te 1, ka 9.

$$9+\frac{9}{4}\left(-\frac{2}{3}\right)^{2}+4-2^{2}\left(-\frac{1}{3}\right)$$

Tātaihia te -\frac{2}{3} mā te pū o 2, kia riro ko \frac{4}{9}.

$$9+\frac{9}{4}\times \frac{4}{9}+4-2^{2}\left(-\frac{1}{3}\right)$$

Me whakakore atu te \frac{9}{4} me tōna tau utu \frac{4}{9}.

$$9+1+4-2^{2}\left(-\frac{1}{3}\right)$$

Tāpirihia te 9 ki te 1, ka 10.

$$10+4-2^{2}\left(-\frac{1}{3}\right)$$

Tāpirihia te 10 ki te 4, ka 14.

$$14-2^{2}\left(-\frac{1}{3}\right)$$

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

$$14-4\left(-\frac{1}{3}\right)$$

Tuhia te 4\left(-\frac{1}{3}\right) hei hautanga kotahi.

$$14-\frac{4\left(-1\right)}{3}$$

Whakareatia te 4 ki te -1, ka -4.

$$14-\frac{-4}{3}$$

Ka taea te hautanga \frac{-4}{3} te tuhi anō ko -\frac{4}{3} mā te tango i te tohu tōraro.

$$14-\left(-\frac{4}{3}\right)$$

Ko te tauaro o -\frac{4}{3} ko \frac{4}{3}.

$$14+\frac{4}{3}$$

Me tahuri te 14 ki te hautau \frac{42}{3}.

$$\frac{42}{3}+\frac{4}{3}$$

Tā te mea he rite te tauraro o \frac{42}{3} me \frac{4}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{42+4}{3}$$

Tāpirihia te 42 ki te 4, ka 46.

$$\frac{46}{3}$$

Tauwehe

$$\frac{2 \cdot 23}{3} = 15\frac{1}{3} = 15.333333333333334$$