Whakaoti i te (sqrt{1/9}-[(1/3)^2:(1/2)^2*1.5-(0.5+22/3)+0.5]^3+frac{2}{3})

$$( \sqrt { \frac { 1 } { 9 } } - [ ( \frac { 1 } { 3 } ) ^ { 2 } : ( \frac { 1 } { 2 } ) ^ { 2 } \times 1.5 - ( 0.5 + 2 \frac { 2 } { 3 } ) + 0.5 ] ^ { 3 } + \frac { 2 } { 3 } )$$

Aromātai

$$9$$

Ngā Upane Otinga

Tuhia anō te pūtake rua o te whakawehenga \frac{1}{9} hei whakawehenga o ngā pūtake rua \frac{\sqrt{1}}{\sqrt{9}}. Tuhia te pūtakerua o te taurunga me te tauraro.

$$\frac{1}{3}-\left(\frac{\left(\frac{1}{3}\right)^{2}}{\left(\frac{1}{2}\right)^{2}}\times 1.5-\left(0.5+\frac{2\times 3+2}{3}\right)+0.5\right)^{3}+\frac{2}{3}$$

Tātaihia te \frac{1}{3} mā te pū o 2, kia riro ko \frac{1}{9}.

$$\frac{1}{3}-\left(\frac{\frac{1}{9}}{\left(\frac{1}{2}\right)^{2}}\times 1.5-\left(0.5+\frac{2\times 3+2}{3}\right)+0.5\right)^{3}+\frac{2}{3}$$

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

$$\frac{1}{3}-\left(\frac{\frac{1}{9}}{\frac{1}{4}}\times 1.5-\left(0.5+\frac{2\times 3+2}{3}\right)+0.5\right)^{3}+\frac{2}{3}$$

Whakawehe \frac{1}{9} ki te \frac{1}{4} mā te whakarea \frac{1}{9} ki te tau huripoki o \frac{1}{4}.

$$\frac{1}{3}-\left(\frac{1}{9}\times 4\times 1.5-\left(0.5+\frac{2\times 3+2}{3}\right)+0.5\right)^{3}+\frac{2}{3}$$

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

$$\frac{1}{3}-\left(\frac{4}{9}\times 1.5-\left(0.5+\frac{2\times 3+2}{3}\right)+0.5\right)^{3}+\frac{2}{3}$$

Whakareatia te \frac{4}{9} ki te 1.5, ka \frac{2}{3}.

$$\frac{1}{3}-\left(\frac{2}{3}-\left(0.5+\frac{2\times 3+2}{3}\right)+0.5\right)^{3}+\frac{2}{3}$$

Whakareatia te 2 ki te 3, ka 6.

$$\frac{1}{3}-\left(\frac{2}{3}-\left(0.5+\frac{6+2}{3}\right)+0.5\right)^{3}+\frac{2}{3}$$

Tāpirihia te 6 ki te 2, ka 8.

$$\frac{1}{3}-\left(\frac{2}{3}-\left(0.5+\frac{8}{3}\right)+0.5\right)^{3}+\frac{2}{3}$$

Tāpirihia te 0.5 ki te \frac{8}{3}, ka \frac{19}{6}.

$$\frac{1}{3}-\left(\frac{2}{3}-\frac{19}{6}+0.5\right)^{3}+\frac{2}{3}$$

Tangohia te \frac{19}{6} i te \frac{2}{3}, ka -\frac{5}{2}.

$$\frac{1}{3}-\left(-\frac{5}{2}+0.5\right)^{3}+\frac{2}{3}$$

Tāpirihia te -\frac{5}{2} ki te 0.5, ka -2.

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

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

$$\frac{1}{3}-\left(-8\right)+\frac{2}{3}$$

Ko te tauaro o -8 ko 8.

$$\frac{1}{3}+8+\frac{2}{3}$$

Tāpirihia te \frac{1}{3} ki te 8, ka \frac{25}{3}.

$$\frac{25}{3}+\frac{2}{3}$$

Tāpirihia te \frac{25}{3} ki te \frac{2}{3}, ka 9.

$$9$$

Tauwehe

$$3^{2}$$