Whakaoti i te -{[(1/sqrt{4})-(-1/sqrt{9})]+(-sqrt{4})^3+2(sqrt{16}-1/2)}div(3/4)

$$- \{ [ ( \frac { 1 } { \sqrt { 4 } } ) - ( - \frac { 1 } { \sqrt { 9 } } ) ] + ( - \sqrt { 4 } ) ^ { 3 } + 2 ( \sqrt { 16 } - \frac { 1 } { 2 } ) \} \div ( \frac { 3 } { 4 } )$$

Aromātai

$$\frac{2}{9}\approx 0.222222222$$

Ngā Upane Otinga

Tātaitia te pūtakerua o 4 kia tae ki 2.

$$\frac{-\left(\frac{1}{2}-\left(-\frac{1}{\sqrt{9}}\right)+\left(-\sqrt{4}\right)^{3}+2\left(\sqrt{16}-\frac{1}{2}\right)\right)}{\frac{3}{4}}$$

Tātaitia te pūtakerua o 9 kia tae ki 3.

$$\frac{-\left(\frac{1}{2}-\left(-\frac{1}{3}\right)+\left(-\sqrt{4}\right)^{3}+2\left(\sqrt{16}-\frac{1}{2}\right)\right)}{\frac{3}{4}}$$

Ko te tauaro o -\frac{1}{3} ko \frac{1}{3}.

$$\frac{-\left(\frac{1}{2}+\frac{1}{3}+\left(-\sqrt{4}\right)^{3}+2\left(\sqrt{16}-\frac{1}{2}\right)\right)}{\frac{3}{4}}$$

Tāpirihia te \frac{1}{2} ki te \frac{1}{3}, ka \frac{5}{6}.

$$\frac{-\left(\frac{5}{6}+\left(-\sqrt{4}\right)^{3}+2\left(\sqrt{16}-\frac{1}{2}\right)\right)}{\frac{3}{4}}$$

Tātaitia te pūtakerua o 4 kia tae ki 2.

$$\frac{-\left(\frac{5}{6}+\left(-2\right)^{3}+2\left(\sqrt{16}-\frac{1}{2}\right)\right)}{\frac{3}{4}}$$

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

$$\frac{-\left(\frac{5}{6}-8+2\left(\sqrt{16}-\frac{1}{2}\right)\right)}{\frac{3}{4}}$$

Tangohia te 8 i te \frac{5}{6}, ka -\frac{43}{6}.

$$\frac{-\left(-\frac{43}{6}+2\left(\sqrt{16}-\frac{1}{2}\right)\right)}{\frac{3}{4}}$$

Tātaitia te pūtakerua o 16 kia tae ki 4.

$$\frac{-\left(-\frac{43}{6}+2\left(4-\frac{1}{2}\right)\right)}{\frac{3}{4}}$$

Tangohia te \frac{1}{2} i te 4, ka \frac{7}{2}.

$$\frac{-\left(-\frac{43}{6}+2\times \frac{7}{2}\right)}{\frac{3}{4}}$$

Whakareatia te 2 ki te \frac{7}{2}, ka 7.

$$\frac{-\left(-\frac{43}{6}+7\right)}{\frac{3}{4}}$$

Tāpirihia te -\frac{43}{6} ki te 7, ka -\frac{1}{6}.

$$\frac{-\left(-\frac{1}{6}\right)}{\frac{3}{4}}$$

Ko te tauaro o -\frac{1}{6} ko \frac{1}{6}.

$$\frac{\frac{1}{6}}{\frac{3}{4}}$$

Whakawehe \frac{1}{6} ki te \frac{3}{4} mā te whakarea \frac{1}{6} ki te tau huripoki o \frac{3}{4}.

$$\frac{1}{6}\times \frac{4}{3}$$

Whakareatia te \frac{1}{6} ki te \frac{4}{3}, ka \frac{2}{9}.

$$\frac{2}{9}$$

Tauwehe

$$\frac{2}{3 ^ {2}} = 0.2222222222222222$$