Whakaoti i te [(-1)^{3}div2/9+2^{200}*(-05)^200-3^3*(-3/2)^2]div|-4div2*(-1/2)^2|

$$[ ( - 1 ) ^ { 3 } \div \frac { 2 } { 9 } + 2 ^ { 200 } \times ( - 05 ) ^ { 200 } - 3 ^ { 3 } \times ( - \frac { 3 } { 2 } ) ^ { 2 } ] \div | - 4 \div 2 \times ( - \frac { 1 } { 2 } ) ^ { 2 } |$$

Aromātai

$$-\frac{261}{2}=-130.5$$

Ngā Upane Otinga

Tātaihia te -1 mā te pū o 3, kia riro ko -1.

$$\frac{\frac{-1}{\frac{2}{9}}+2^{200}\times \left(0\times 5\right)^{200}-3^{3}\left(-\frac{3}{2}\right)^{2}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

Whakawehe -1 ki te \frac{2}{9} mā te whakarea -1 ki te tau huripoki o \frac{2}{9}.

$$\frac{-\frac{9}{2}+2^{200}\times \left(0\times 5\right)^{200}-3^{3}\left(-\frac{3}{2}\right)^{2}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

Tātaihia te 2 mā te pū o 200, kia riro ko 1606938044258990275541962092341162602522202993782792835301376.

$$\frac{-\frac{9}{2}+1606938044258990275541962092341162602522202993782792835301376\times \left(0\times 5\right)^{200}-3^{3}\left(-\frac{3}{2}\right)^{2}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

Whakareatia te 0 ki te 5, ka 0.

$$\frac{-\frac{9}{2}+1606938044258990275541962092341162602522202993782792835301376\times 0^{200}-3^{3}\left(-\frac{3}{2}\right)^{2}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

Tātaihia te 0 mā te pū o 200, kia riro ko 0.

$$\frac{-\frac{9}{2}+1606938044258990275541962092341162602522202993782792835301376\times 0-3^{3}\left(-\frac{3}{2}\right)^{2}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

Whakareatia te 1606938044258990275541962092341162602522202993782792835301376 ki te 0, ka 0.

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

Tāpirihia te -\frac{9}{2} ki te 0, ka -\frac{9}{2}.

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

Tātaihia te 3 mā te pū o 3, kia riro ko 27.

$$\frac{-\frac{9}{2}-27\left(-\frac{3}{2}\right)^{2}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

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

$$\frac{-\frac{9}{2}-27\times \frac{9}{4}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

Whakareatia te 27 ki te \frac{9}{4}, ka \frac{243}{4}.

$$\frac{-\frac{9}{2}-\frac{243}{4}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

Tangohia te \frac{243}{4} i te -\frac{9}{2}, ka -\frac{261}{4}.

$$\frac{-\frac{261}{4}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

Whakawehea te -4 ki te 2, kia riro ko -2.

$$\frac{-\frac{261}{4}}{|-2\left(-\frac{1}{2}\right)^{2}|}$$

Tātaihia te -\frac{1}{2} mā te pū o 2, kia riro ko \frac{1}{4}.

$$\frac{-\frac{261}{4}}{|-2\times \frac{1}{4}|}$$

Whakareatia te -2 ki te \frac{1}{4}, ka -\frac{1}{2}.

$$\frac{-\frac{261}{4}}{|-\frac{1}{2}|}$$

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 -\frac{1}{2} ko \frac{1}{2}.

$$\frac{-\frac{261}{4}}{\frac{1}{2}}$$

Whakawehe -\frac{261}{4} ki te \frac{1}{2} mā te whakarea -\frac{261}{4} ki te tau huripoki o \frac{1}{2}.

$$-\frac{261}{4}\times 2$$

Whakareatia te -\frac{261}{4} ki te 2, ka -\frac{261}{2}.

$$-\frac{261}{2}$$

Tauwehe

$$-\frac{261}{2} = -130\frac{1}{2} = -130.5$$