Whakaoti i te ((frac{2/3)^{4}(3/2)^2}{2^2+(1/3)^2})^2=

$$( \frac { ( \frac { 2 } { 3 } ) ^ { 4 } ( \frac { 3 } { 2 } ) ^ { 2 } } { 2 ^ { 2 } + ( \frac { 1 } { 3 } ) ^ { 2 } } ) ^ { 2 } =$$

Aromātai

$$\frac{16}{1369}\approx 0.011687363$$

Ngā Upane Otinga

Tātaihia te \frac{2}{3} mā te pū o 4, kia riro ko \frac{16}{81}.

$$\left(\frac{\frac{16}{81}\times \left(\frac{3}{2}\right)^{2}}{2^{2}+\left(\frac{1}{3}\right)^{2}}\right)^{2}$$

Tātaihia te \frac{3}{2} mā te pū o 2, kia riro ko \frac{9}{4}.

$$\left(\frac{\frac{16}{81}\times \frac{9}{4}}{2^{2}+\left(\frac{1}{3}\right)^{2}}\right)^{2}$$

Whakareatia te \frac{16}{81} ki te \frac{9}{4}, ka \frac{4}{9}.

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

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

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

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

$$\left(\frac{\frac{4}{9}}{4+\frac{1}{9}}\right)^{2}$$

Tāpirihia te 4 ki te \frac{1}{9}, ka \frac{37}{9}.

$$\left(\frac{\frac{4}{9}}{\frac{37}{9}}\right)^{2}$$

Whakawehe \frac{4}{9} ki te \frac{37}{9} mā te whakarea \frac{4}{9} ki te tau huripoki o \frac{37}{9}.

$$\left(\frac{4}{9}\times \frac{9}{37}\right)^{2}$$

Whakareatia te \frac{4}{9} ki te \frac{9}{37}, ka \frac{4}{37}.

$$\left(\frac{4}{37}\right)^{2}$$

Tātaihia te \frac{4}{37} mā te pū o 2, kia riro ko \frac{16}{1369}.

$$\frac{16}{1369}$$

Tauwehe

$$\frac{2 ^ {4}}{37 ^ {2}} = 0.01168736303871439$$