Whakaoti i te (-3)^2div21/4*(-2/3)^2+4-2^2*(-1/3)

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

Aromātai

$$\frac{64}{9}\approx 7.111111111$$

Ngā Upane Otinga

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

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

Whakareatia te 2 ki te 4, ka 8.

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

Tāpirihia te 8 ki te 1, ka 9.

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

Whakawehe 9 ki te \frac{9}{4} mā te whakarea 9 ki te tau huripoki o \frac{9}{4}.

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

Me whakakore te 9 me te 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}.

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

Tuhia te 4\times \frac{4}{9} hei hautanga kotahi.

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

Whakareatia te 4 ki te 4, ka 16.

$$\frac{16}{9}+4-2^{2}\left(-\frac{1}{3}\right)$$

Me tahuri te 4 ki te hautau \frac{36}{9}.

$$\frac{16}{9}+\frac{36}{9}-2^{2}\left(-\frac{1}{3}\right)$$

Tā te mea he rite te tauraro o \frac{16}{9} me \frac{36}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{16+36}{9}-2^{2}\left(-\frac{1}{3}\right)$$

Tāpirihia te 16 ki te 36, ka 52.

$$\frac{52}{9}-2^{2}\left(-\frac{1}{3}\right)$$

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

$$\frac{52}{9}-4\left(-\frac{1}{3}\right)$$

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

$$\frac{52}{9}-\frac{4\left(-1\right)}{3}$$

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

$$\frac{52}{9}-\frac{-4}{3}$$

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

$$\frac{52}{9}-\left(-\frac{4}{3}\right)$$

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

$$\frac{52}{9}+\frac{4}{3}$$

Ko te maha noa iti rawa atu o 9 me 3 ko 9. Me tahuri \frac{52}{9} me \frac{4}{3} ki te hautau me te tautūnga 9.

$$\frac{52}{9}+\frac{12}{9}$$

Tā te mea he rite te tauraro o \frac{52}{9} me \frac{12}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{52+12}{9}$$

Tāpirihia te 52 ki te 12, ka 64.

$$\frac{64}{9}$$

Tauwehe

$$\frac{2 ^ {6}}{3 ^ {2}} = 7\frac{1}{9} = 7.111111111111111$$