Whakaoti i te {left({left(frac{2/3right)}^{4}{left(3/2right)}^2}{2^left(frac{1{3}right)}^2}right)}^2

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

Aromātai

$$4$$

Ngā Upane Otinga

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

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

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

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

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

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

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

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

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

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

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

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

Whakawehe \frac{4}{9} ki te \frac{2}{9} mā te whakarea \frac{4}{9} ki te tau huripoki o \frac{2}{9}.

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

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

$$2^{2}$$

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

$$4$$

Tauwehe

$$2^{2}$$