Whakaoti i te -2^2*(1-3/4)^2+sqrt{frac{32/128}}{(-1^2-1)^3-4,75-31/4}-sqrt{1,96}+sqrt[3]{64}*0,1=

$$\frac { - 2 ^ { 2 } \cdot ( 1 - \frac { 3 } { 4 } ) ^ { 2 } + \sqrt { \frac { 32 } { 128 } } } { ( - 1 ^ { 2 } - 1 ) ^ { 3 } - 4,75 - 3 \frac { 1 } { 4 } } - \sqrt { 1,96 } + \sqrt[ 3 ] { 64 } \cdot 0,1 =$$

Aromātai

$$-1.015625$$

Ngā Upane Otinga

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

$$\frac{-4\left(1-\frac{3}{4}\right)^{2}+\sqrt{\frac{32}{128}}}{\left(-1^{2}-1\right)^{3}-4.75-\frac{3\times 4+1}{4}}-\sqrt{1.96}+\sqrt[3]{64}\times 0.1$$

Tangohia te \frac{3}{4} i te 1, ka \frac{1}{4}.

$$\frac{-4\times \left(\frac{1}{4}\right)^{2}+\sqrt{\frac{32}{128}}}{\left(-1^{2}-1\right)^{3}-4.75-\frac{3\times 4+1}{4}}-\sqrt{1.96}+\sqrt[3]{64}\times 0.1$$

Tātaihia te \frac{1}{4} mā te pū o 2, kia riro ko \frac{1}{16}.

$$\frac{-4\times \frac{1}{16}+\sqrt{\frac{32}{128}}}{\left(-1^{2}-1\right)^{3}-4.75-\frac{3\times 4+1}{4}}-\sqrt{1.96}+\sqrt[3]{64}\times 0.1$$

Whakareatia te -4 ki te \frac{1}{16}, ka -\frac{1}{4}.

$$\frac{-\frac{1}{4}+\sqrt{\frac{32}{128}}}{\left(-1^{2}-1\right)^{3}-4.75-\frac{3\times 4+1}{4}}-\sqrt{1.96}+\sqrt[3]{64}\times 0.1$$

Whakahekea te hautanga \frac{32}{128} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 32.

$$\frac{-\frac{1}{4}+\sqrt{\frac{1}{4}}}{\left(-1^{2}-1\right)^{3}-4.75-\frac{3\times 4+1}{4}}-\sqrt{1.96}+\sqrt[3]{64}\times 0.1$$

Tuhia anō te pūtake rua o te whakawehenga \frac{1}{4} hei whakawehenga o ngā pūtake rua \frac{\sqrt{1}}{\sqrt{4}}. Tuhia te pūtakerua o te taurunga me te tauraro.

$$\frac{-\frac{1}{4}+\frac{1}{2}}{\left(-1^{2}-1\right)^{3}-4.75-\frac{3\times 4+1}{4}}-\sqrt{1.96}+\sqrt[3]{64}\times 0.1$$

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

$$\frac{\frac{1}{4}}{\left(-1^{2}-1\right)^{3}-4.75-\frac{3\times 4+1}{4}}-\sqrt{1.96}+\sqrt[3]{64}\times 0.1$$

Tātaihia te 1 mā te pū o 2, kia riro ko 1.

$$\frac{\frac{1}{4}}{\left(-1-1\right)^{3}-4.75-\frac{3\times 4+1}{4}}-\sqrt{1.96}+\sqrt[3]{64}\times 0.1$$

Tangohia te 1 i te -1, ka -2.

$$\frac{\frac{1}{4}}{\left(-2\right)^{3}-4.75-\frac{3\times 4+1}{4}}-\sqrt{1.96}+\sqrt[3]{64}\times 0.1$$

Tātaihia te -2 mā te pū o 3, kia riro ko -8.

$$\frac{\frac{1}{4}}{-8-4.75-\frac{3\times 4+1}{4}}-\sqrt{1.96}+\sqrt[3]{64}\times 0.1$$

Tangohia te 4.75 i te -8, ka -12.75.

$$\frac{\frac{1}{4}}{-12.75-\frac{3\times 4+1}{4}}-\sqrt{1.96}+\sqrt[3]{64}\times 0.1$$

Whakareatia te 3 ki te 4, ka 12.

$$\frac{\frac{1}{4}}{-12.75-\frac{12+1}{4}}-\sqrt{1.96}+\sqrt[3]{64}\times 0.1$$

Tāpirihia te 12 ki te 1, ka 13.

$$\frac{\frac{1}{4}}{-12.75-\frac{13}{4}}-\sqrt{1.96}+\sqrt[3]{64}\times 0.1$$

Tangohia te \frac{13}{4} i te -12.75, ka -16.

$$\frac{\frac{1}{4}}{-16}-\sqrt{1.96}+\sqrt[3]{64}\times 0.1$$

Tuhia te \frac{\frac{1}{4}}{-16} hei hautanga kotahi.

$$\frac{1}{4\left(-16\right)}-\sqrt{1.96}+\sqrt[3]{64}\times 0.1$$

Whakareatia te 4 ki te -16, ka -64.

$$\frac{1}{-64}-\sqrt{1.96}+\sqrt[3]{64}\times 0.1$$

Ka taea te hautanga \frac{1}{-64} te tuhi anō ko -\frac{1}{64} mā te tango i te tohu tōraro.

$$-\frac{1}{64}-\sqrt{1.96}+\sqrt[3]{64}\times 0.1$$

Tātaitia te pūtakerua o 1.96 kia tae ki 1.4.

$$-\frac{1}{64}-1.4+\sqrt[3]{64}\times 0.1$$

Tangohia te 1.4 i te -\frac{1}{64}, ka -\frac{453}{320}.

$$-\frac{453}{320}+\sqrt[3]{64}\times 0.1$$

Tātaitia te \sqrt[3]{64} kia tae ki 4.

$$-\frac{453}{320}+4\times 0.1$$

Whakareatia te 4 ki te 0.1, ka 0.4.

$$-\frac{453}{320}+0.4$$

Tāpirihia te -\frac{453}{320} ki te 0.4, ka -\frac{65}{64}.

$$-\frac{65}{64}$$

Tauwehe

$$-1.015625$$