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

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

Aromātai

$$9$$

Ngā Upane Otinga

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

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

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

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

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

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

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

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

Whakawehea te 81 ki te 9, kia riro ko 9.

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

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

$$\frac{9}{\frac{1}{8}\times 2^{3}}$$

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

$$\frac{9}{\frac{1}{8}\times 8}$$

Me whakakore te 8 me te 8.

$$\frac{9}{1}$$

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

$$9$$

Tauwehe

$$3^{2}$$