Whakaoti i te -0.5^2+1/4-|-2^2-4|-(-11/2)^3*4/9

$$- 0.5 ^ { 2 } + \frac { 1 } { 4 } - | - 2 ^ { 2 } - 4 | - ( - 1 \frac { 1 } { 2 } ) ^ { 3 } \times \frac { 4 } { 9 }$$

Aromātai

$$-6.5$$

Ngā Upane Otinga

Tātaihia te 0.5 mā te pū o 2, kia riro ko 0.25.

$$-0.25+\frac{1}{4}-|-2^{2}-4|-\left(-\frac{1\times 2+1}{2}\right)^{3}\times \frac{4}{9}$$

Tāpirihia te -0.25 ki te \frac{1}{4}, ka 0.

$$0-|-2^{2}-4|-\left(-\frac{1\times 2+1}{2}\right)^{3}\times \frac{4}{9}$$

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

$$0-|-4-4|-\left(-\frac{1\times 2+1}{2}\right)^{3}\times \frac{4}{9}$$

Tangohia te 4 i te -4, ka -8.

$$0-|-8|-\left(-\frac{1\times 2+1}{2}\right)^{3}\times \frac{4}{9}$$

Ko te uara pū o tētahi tau tūturu a ko a ina a\geq 0, ko -a rānei ina a<0. Ko te uara pū o -8 ko 8.

$$0-8-\left(-\frac{1\times 2+1}{2}\right)^{3}\times \frac{4}{9}$$

Tangohia te 8 i te 0, ka -8.

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

Whakareatia te 1 ki te 2, ka 2.

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

Tāpirihia te 2 ki te 1, ka 3.

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

Tātaihia te -\frac{3}{2} mā te pū o 3, kia riro ko -\frac{27}{8}.

$$-8-\left(-\frac{27}{8}\times \frac{4}{9}\right)$$

Whakareatia te -\frac{27}{8} ki te \frac{4}{9}, ka -\frac{3}{2}.

$$-8-\left(-\frac{3}{2}\right)$$

Ko te tauaro o -\frac{3}{2} ko \frac{3}{2}.

$$-8+\frac{3}{2}$$

Tāpirihia te -8 ki te \frac{3}{2}, ka -\frac{13}{2}.

$$-\frac{13}{2}$$

Tauwehe

$$-6.5$$