Whakaoti i te (4/9)^2/2+sqrt[3]{-27}+(1/5)^2+sqrt[3]{-8/27}+(3/5)^0

$$( \frac { 4 } { 9 } ) ^ { 2 / 2 } + \sqrt[ 3 ] { - 27 } + ( \frac { 1 } { 5 } ) ^ { 2 } + \sqrt[ 3 ] { - \frac { 8 } { 27 } } + ( \frac { 3 } { 5 } ) ^ { 0 }$$

Aromātai

$$-\frac{491}{225}\approx -2.182222222$$

Ngā Upane Otinga

Whakawehea te 2 ki te 2, kia riro ko 1.

$$\left(\frac{4}{9}\right)^{1}+\sqrt[3]{-27}+\left(\frac{1}{5}\right)^{2}+\sqrt[3]{-\frac{8}{27}}+\left(\frac{3}{5}\right)^{0}$$

Tātaihia te \frac{4}{9} mā te pū o 1, kia riro ko \frac{4}{9}.

$$\frac{4}{9}+\sqrt[3]{-27}+\left(\frac{1}{5}\right)^{2}+\sqrt[3]{-\frac{8}{27}}+\left(\frac{3}{5}\right)^{0}$$

Tātaitia te \sqrt[3]{-27} kia tae ki -3.

$$\frac{4}{9}-3+\left(\frac{1}{5}\right)^{2}+\sqrt[3]{-\frac{8}{27}}+\left(\frac{3}{5}\right)^{0}$$

Tangohia te 3 i te \frac{4}{9}, ka -\frac{23}{9}.

$$-\frac{23}{9}+\left(\frac{1}{5}\right)^{2}+\sqrt[3]{-\frac{8}{27}}+\left(\frac{3}{5}\right)^{0}$$

Tātaihia te \frac{1}{5} mā te pū o 2, kia riro ko \frac{1}{25}.

$$-\frac{23}{9}+\frac{1}{25}+\sqrt[3]{-\frac{8}{27}}+\left(\frac{3}{5}\right)^{0}$$

Tāpirihia te -\frac{23}{9} ki te \frac{1}{25}, ka -\frac{566}{225}.

$$-\frac{566}{225}+\sqrt[3]{-\frac{8}{27}}+\left(\frac{3}{5}\right)^{0}$$

Tātaitia te \sqrt[3]{-\frac{8}{27}} kia tae ki -\frac{2}{3}.

$$-\frac{566}{225}-\frac{2}{3}+\left(\frac{3}{5}\right)^{0}$$

Tangohia te \frac{2}{3} i te -\frac{566}{225}, ka -\frac{716}{225}.

$$-\frac{716}{225}+\left(\frac{3}{5}\right)^{0}$$

Tātaihia te \frac{3}{5} mā te pū o 0, kia riro ko 1.

$$-\frac{716}{225}+1$$

Tāpirihia te -\frac{716}{225} ki te 1, ka -\frac{491}{225}.

$$-\frac{491}{225}$$

Tauwehe

$$-\frac{491}{225} = -2\frac{41}{225} = -2.1822222222222223$$