Whakaoti i te -3^2+(-025)^100*4^100+(1/2-1/3)*(1/6)^-2

$$- 3 ^ { 2 } + ( - 025 ) ^ { 100 } \times 4 ^ { 100 } + ( \frac { 1 } { 2 } - \frac { 1 } { 3 } ) \times ( \frac { 1 } { 6 } ) ^ { - 2 }$$

Aromātai

$$-3$$

Ngā Upane Otinga

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

$$-9+\left(0\times 25\right)^{100}\times 4^{100}+\left(\frac{1}{2}-\frac{1}{3}\right)\times \left(\frac{1}{6}\right)^{-2}$$

Whakareatia te 0 ki te 25, ka 0.

$$-9+0^{100}\times 4^{100}+\left(\frac{1}{2}-\frac{1}{3}\right)\times \left(\frac{1}{6}\right)^{-2}$$

Tātaihia te 0 mā te pū o 100, kia riro ko 0.

$$-9+0\times 4^{100}+\left(\frac{1}{2}-\frac{1}{3}\right)\times \left(\frac{1}{6}\right)^{-2}$$

Tātaihia te 4 mā te pū o 100, kia riro ko 1606938044258990275541962092341162602522202993782792835301376.

$$-9+0\times 1606938044258990275541962092341162602522202993782792835301376+\left(\frac{1}{2}-\frac{1}{3}\right)\times \left(\frac{1}{6}\right)^{-2}$$

Whakareatia te 0 ki te 1606938044258990275541962092341162602522202993782792835301376, ka 0.

$$-9+0+\left(\frac{1}{2}-\frac{1}{3}\right)\times \left(\frac{1}{6}\right)^{-2}$$

Tāpirihia te -9 ki te 0, ka -9.

$$-9+\left(\frac{1}{2}-\frac{1}{3}\right)\times \left(\frac{1}{6}\right)^{-2}$$

Tangohia te \frac{1}{3} i te \frac{1}{2}, ka \frac{1}{6}.

$$-9+\frac{1}{6}\times \left(\frac{1}{6}\right)^{-2}$$

Tātaihia te \frac{1}{6} mā te pū o -2, kia riro ko 36.

$$-9+\frac{1}{6}\times 36$$

Whakareatia te \frac{1}{6} ki te 36, ka 6.

$$-9+6$$

Tāpirihia te -9 ki te 6, ka -3.

$$-3$$

Tauwehe

$$-3$$