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

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

Aromātai

$$81$$

Ngā Upane Otinga

Me whakakore tahi te \left(\frac{1}{3}\right)^{2} i te taurunga me te tauraro.

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

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

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

Tātaihia te 3 mā te pū o 4, kia riro ko 81.

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

Whakareatia te \frac{1}{9} ki te 81, ka 9.

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

Tātaihia te \frac{1}{2} mā te pū o 3, kia riro ko \frac{1}{8}.

$$\left(\frac{9}{\frac{1}{8}\times 2^{3}}\right)^{2}$$

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

$$\left(\frac{9}{\frac{1}{8}\times 8}\right)^{2}$$

Whakareatia te \frac{1}{8} ki te 8, ka 1.

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

Ka whakawehea he tau ki te tahi, hua ai ko ia anō.

$$9^{2}$$

Tātaihia te 9 mā te pū o 2, kia riro ko 81.

$$81$$

Tauwehe

$$3^{4}$$