Whakaoti i te 3/3div(3/2-1)+(1-06)*(-5/2)^2]div(-5/3)-20}div(-1)^30

$$\frac { 3 } { 3 } \div ( \frac { 3 } { 2 } - 1 ) + ( 1 - 06 ) \times ( - \frac { 5 } { 2 } ) ^ { 2 } ] \div ( - \frac { 5 } { 3 } ) - 20 \} \div ( - 1 ) ^ { 30 }$$

Aromātai

$$\frac{33}{4}=8.25$$

Ngā Upane Otinga

Whakawehea te 3 ki te 3, kia riro ko 1.

$$\frac{1}{\frac{3}{2}-1}+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}$$

Me tahuri te 1 ki te hautau \frac{2}{2}.

$$\frac{1}{\frac{3}{2}-\frac{2}{2}}+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}$$

Tā te mea he rite te tauraro o \frac{3}{2} me \frac{2}{2}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1}{\frac{3-2}{2}}+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}$$

Tangohia te 2 i te 3, ka 1.

$$\frac{1}{\frac{1}{2}}+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}$$

Whakawehe 1 ki te \frac{1}{2} mā te whakarea 1 ki te tau huripoki o \frac{1}{2}.

$$1\times 2+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}$$

Whakareatia te 1 ki te 2, ka 2.

$$2+\left(1-0\times 6\right)\left(-\frac{5}{2}\right)^{2}$$

Whakareatia te 0 ki te 6, ka 0.

$$2+\left(1-0\right)\left(-\frac{5}{2}\right)^{2}$$

Tangohia te 0 i te 1, ka 1.

$$2+1\left(-\frac{5}{2}\right)^{2}$$

Tātaihia te -\frac{5}{2} mā te pū o 2, kia riro ko \frac{25}{4}.

$$2+1\times \frac{25}{4}$$

Whakareatia te 1 ki te \frac{25}{4}, ka \frac{25}{4}.

$$2+\frac{25}{4}$$

Me tahuri te 2 ki te hautau \frac{8}{4}.

$$\frac{8}{4}+\frac{25}{4}$$

Tā te mea he rite te tauraro o \frac{8}{4} me \frac{25}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{8+25}{4}$$

Tāpirihia te 8 ki te 25, ka 33.

$$\frac{33}{4}$$

Tauwehe

$$\frac{3 \cdot 11}{2 ^ {2}} = 8\frac{1}{4} = 8.25$$