Whakaoti i te 2^2/2^4*3^5*4^2/{3^2}

$$\frac{ { 2 }^{ 2 } }{ { 2 }^{ 4 } } \times { 3 }^{ 5 } \times \frac{ { 4 }^{ 2 } }{ { 3 }^{ 2 } }$$

Aromātai

$$108$$

Ngā Upane Otinga

Tuhia anō te 2^{4} hei 2^{2}\times 2^{2}. Me whakakore tahi te 2^{2} i te taurunga me te tauraro.

$$\frac{1}{2^{2}}\times 3^{5}\times \frac{4^{2}}{3^{2}}$$

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

$$\frac{1}{4}\times 3^{5}\times \frac{4^{2}}{3^{2}}$$

Tātaihia te 3 mā te pū o 5, kia riro ko 243.

$$\frac{1}{4}\times 243\times \frac{4^{2}}{3^{2}}$$

Whakareatia te \frac{1}{4} ki te 243, ka \frac{243}{4}.

$$\frac{243}{4}\times \frac{4^{2}}{3^{2}}$$

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

$$\frac{243}{4}\times \frac{16}{3^{2}}$$

Tātaihia te 3 mā te pū o 2, kia riro ko 9.

$$\frac{243}{4}\times \frac{16}{9}$$

Me whakarea te \frac{243}{4} ki te \frac{16}{9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{243\times 16}{4\times 9}$$

Mahia ngā whakarea i roto i te hautanga \frac{243\times 16}{4\times 9}.

$$\frac{3888}{36}$$

Whakawehea te 3888 ki te 36, kia riro ko 108.

$$108$$

Tauwehe

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