Whakaoti i te (-1/2)^-2+(1/3)^-3+(1/4)^-4

$$( \frac { - 1 } { 2 } ) ^ { - 2 } + ( \frac { 1 } { 3 } ) ^ { - 3 } + ( \frac { 1 } { 4 } ) ^ { - 4 }$$

Aromātai

$$287$$

Ngā Upane Otinga

Ka taea te hautanga \frac{-1}{2} te tuhi anō ko -\frac{1}{2} mā te tango i te tohu tōraro.

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

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

$$4+\left(\frac{1}{3}\right)^{-3}+\left(\frac{1}{4}\right)^{-4}$$

Tātaihia te \frac{1}{3} mā te pū o -3, kia riro ko 27.

$$4+27+\left(\frac{1}{4}\right)^{-4}$$

Tāpirihia te 4 ki te 27, ka 31.

$$31+\left(\frac{1}{4}\right)^{-4}$$

Tātaihia te \frac{1}{4} mā te pū o -4, kia riro ko 256.

$$31+256$$

Tāpirihia te 31 ki te 256, ka 287.

$$287$$

Tauwehe

$$7\times 41$$