Whakaoti i te (frac{2^{2}*3^{5}*4^2}{2^4*3^2})^2

$$( \frac { 2 ^ { 2 } * 3 ^ { 5 } * 4 ^ { 2 } } { 2 ^ { 4 } * 3 ^ { 2 } } ) ^ { 2 }$$

Aromātai

$$11664$$

Ngā Upane Otinga

Me whakakore tahi te 2^{2}\times 3^{2} i te taurunga me te tauraro.

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

Tātaihia te 3 mā te pū o 3, kia riro ko 27.

$$\left(\frac{27\times 4^{2}}{2^{2}}\right)^{2}$$

Tātaihia te 4 mā te pū o 2, kia riro ko 16.

$$\left(\frac{27\times 16}{2^{2}}\right)^{2}$$

Whakareatia te 27 ki te 16, ka 432.

$$\left(\frac{432}{2^{2}}\right)^{2}$$

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

$$\left(\frac{432}{4}\right)^{2}$$

Whakawehea te 432 ki te 4, kia riro ko 108.

$$108^{2}$$

Tātaihia te 108 mā te pū o 2, kia riro ko 11664.

$$11664$$

Tauwehe

$$2^{4}\times 3^{6}$$