Whakaoti i te 400-5:{32+(-2)*[18-2*(16-(-2)^4)]}+(-5)^4*(-5)^2=

$$400 - 5 : \{ 32 + ( - 2 ) \cdot [ 18 - 2 \cdot ( 16 - ( - 2 ) ^ { 4 } ) ] \} + ( - 5 ) ^ { 4 } \cdot ( - 5 ) ^ { 2 } =$$

Aromātai

$$\frac{64105}{4}=16026.25$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 4 me te 2 kia riro ai te 6.

$$400-\frac{5}{32-2\left(18-2\left(16-\left(-2\right)^{4}\right)\right)}+\left(-5\right)^{6}$$

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

$$400-\frac{5}{32-2\left(18-2\left(16-16\right)\right)}+\left(-5\right)^{6}$$

Tangohia te 16 i te 16, ka 0.

$$400-\frac{5}{32-2\left(18-2\times 0\right)}+\left(-5\right)^{6}$$

Whakareatia te 2 ki te 0, ka 0.

$$400-\frac{5}{32-2\left(18-0\right)}+\left(-5\right)^{6}$$

Tangohia te 0 i te 18, ka 18.

$$400-\frac{5}{32-2\times 18}+\left(-5\right)^{6}$$

Whakareatia te -2 ki te 18, ka -36.

$$400-\frac{5}{32-36}+\left(-5\right)^{6}$$

Tangohia te 36 i te 32, ka -4.

$$400-\frac{5}{-4}+\left(-5\right)^{6}$$

Ka taea te hautanga \frac{5}{-4} te tuhi anō ko -\frac{5}{4} mā te tango i te tohu tōraro.

$$400-\left(-\frac{5}{4}\right)+\left(-5\right)^{6}$$

Ko te tauaro o -\frac{5}{4} ko \frac{5}{4}.

$$400+\frac{5}{4}+\left(-5\right)^{6}$$

Me tahuri te 400 ki te hautau \frac{1600}{4}.

$$\frac{1600}{4}+\frac{5}{4}+\left(-5\right)^{6}$$

Tā te mea he rite te tauraro o \frac{1600}{4} me \frac{5}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1600+5}{4}+\left(-5\right)^{6}$$

Tāpirihia te 1600 ki te 5, ka 1605.

$$\frac{1605}{4}+\left(-5\right)^{6}$$

Tātaihia te -5 mā te pū o 6, kia riro ko 15625.

$$\frac{1605}{4}+15625$$

Me tahuri te 15625 ki te hautau \frac{62500}{4}.

$$\frac{1605}{4}+\frac{62500}{4}$$

Tā te mea he rite te tauraro o \frac{1605}{4} me \frac{62500}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1605+62500}{4}$$

Tāpirihia te 1605 ki te 62500, ka 64105.

$$\frac{64105}{4}$$

Tauwehe

$$\frac{5 \cdot 12821}{2 ^ {2}} = 16026\frac{1}{4} = 16026.25$$