Whakaoti i te (-2)^4=(-22/3)^2+51/2*(-1/6)-1/4

$$( - 2 ) ^ { 4 } = ( - 2 \frac { 2 } { 3 } ) ^ { 2 } + 5 \frac { 1 } { 2 } \times ( - \frac { 1 } { 6 } ) - \frac { 1 } { 4 }$$

Manatoko

Ngā Upane Otinga

Me whakarea ngā taha e rua o te whārite ki te 12, arā, te tauraro pātahi he tino iti rawa te kitea o 2,6,4.

$$12\left(-2\right)^{4}=12\left(-\frac{2\times 3+2}{3}\right)^{2}+6\left(5\times 2+1\right)\left(-\frac{1}{6}\right)-3$$

Tātaihia te -2 mā te pū o 4, kia riro ko 16.

$$12\times 16=12\left(-\frac{2\times 3+2}{3}\right)^{2}+6\left(5\times 2+1\right)\left(-\frac{1}{6}\right)-3$$

Whakareatia te 12 ki te 16, ka 192.

$$192=12\left(-\frac{2\times 3+2}{3}\right)^{2}+6\left(5\times 2+1\right)\left(-\frac{1}{6}\right)-3$$

Whakareatia te 2 ki te 3, ka 6.

$$192=12\left(-\frac{6+2}{3}\right)^{2}+6\left(5\times 2+1\right)\left(-\frac{1}{6}\right)-3$$

Tāpirihia te 6 ki te 2, ka 8.

$$192=12\left(-\frac{8}{3}\right)^{2}+6\left(5\times 2+1\right)\left(-\frac{1}{6}\right)-3$$

Tātaihia te -\frac{8}{3} mā te pū o 2, kia riro ko \frac{64}{9}.

$$192=12\times \frac{64}{9}+6\left(5\times 2+1\right)\left(-\frac{1}{6}\right)-3$$

Whakareatia te 12 ki te \frac{64}{9}, ka \frac{256}{3}.

$$192=\frac{256}{3}+6\left(5\times 2+1\right)\left(-\frac{1}{6}\right)-3$$

Whakareatia te 5 ki te 2, ka 10.

$$192=\frac{256}{3}+6\left(10+1\right)\left(-\frac{1}{6}\right)-3$$

Tāpirihia te 10 ki te 1, ka 11.

$$192=\frac{256}{3}+6\times 11\left(-\frac{1}{6}\right)-3$$

Whakareatia te 6 ki te 11, ka 66.

$$192=\frac{256}{3}+66\left(-\frac{1}{6}\right)-3$$

Whakareatia te 66 ki te -\frac{1}{6}, ka -11.

$$192=\frac{256}{3}-11-3$$

Tangohia te 11 i te \frac{256}{3}, ka \frac{223}{3}.

$$192=\frac{223}{3}-3$$

Tangohia te 3 i te \frac{223}{3}, ka \frac{214}{3}.

$$192=\frac{214}{3}$$

Me tahuri te 192 ki te hautau \frac{576}{3}.

$$\frac{576}{3}=\frac{214}{3}$$

Whakatauritea te \frac{576}{3} me te \frac{214}{3}.

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