Whakaoti i te (frac{9b^{4}}{8b^{3}})^2(2b^4/3b^3)^3=

$$( \frac { 9 b ^ { 4 } } { 8 b ^ { 3 } } ) ^ { 2 } ( \frac { 2 b ^ { 4 } } { 3 b ^ { 3 } } ) ^ { 3 } =$$

Aromātai

$$\frac{3b^{5}}{8}$$

Ngā Upane Otinga

Me whakakore tahi te b^{3} i te taurunga me te tauraro.

$$\left(\frac{9b}{8}\right)^{2}\times \left(\frac{2b^{4}}{3b^{3}}\right)^{3}$$

Kia whakarewa i te \frac{9b}{8} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{\left(9b\right)^{2}}{8^{2}}\times \left(\frac{2b^{4}}{3b^{3}}\right)^{3}$$

Me whakakore tahi te b^{3} i te taurunga me te tauraro.

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

Kia whakarewa i te \frac{2b}{3} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

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

Me whakarea te \frac{\left(9b\right)^{2}}{8^{2}} ki te \frac{\left(2b\right)^{3}}{3^{3}} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Whakarohaina te \left(9b\right)^{2}.

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

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

$$\frac{81b^{2}\times \left(2b\right)^{3}}{8^{2}\times 3^{3}}$$

Whakarohaina te \left(2b\right)^{3}.

$$\frac{81b^{2}\times 2^{3}b^{3}}{8^{2}\times 3^{3}}$$

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

$$\frac{81b^{2}\times 8b^{3}}{8^{2}\times 3^{3}}$$

Whakareatia te 81 ki te 8, ka 648.

$$\frac{648b^{2}b^{3}}{8^{2}\times 3^{3}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 3 kia riro ai te 5.

$$\frac{648b^{5}}{8^{2}\times 3^{3}}$$

Tātaihia te 8 mā te pū o 2, kia riro ko 64.

$$\frac{648b^{5}}{64\times 3^{3}}$$

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

$$\frac{648b^{5}}{64\times 27}$$

Whakareatia te 64 ki te 27, ka 1728.

$$\frac{648b^{5}}{1728}$$

Whakawehea te 648b^{5} ki te 1728, kia riro ko \frac{3}{8}b^{5}.

$$\frac{3}{8}b^{5}$$

Whakaroha

$$\frac{3b^{5}}{8}$$

Ngā Upane Otinga

Me whakakore tahi te b^{3} i te taurunga me te tauraro.

$$\left(\frac{9b}{8}\right)^{2}\times \left(\frac{2b^{4}}{3b^{3}}\right)^{3}$$

Kia whakarewa i te \frac{9b}{8} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

$$\frac{\left(9b\right)^{2}}{8^{2}}\times \left(\frac{2b^{4}}{3b^{3}}\right)^{3}$$

Me whakakore tahi te b^{3} i te taurunga me te tauraro.

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

Kia whakarewa i te \frac{2b}{3} ki tētahi taupū, me whakarewa tahi te taurunga me te tauraro ki te taupū kātahi ka whakawehe.

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

Me whakarea te \frac{\left(9b\right)^{2}}{8^{2}} ki te \frac{\left(2b\right)^{3}}{3^{3}} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Whakarohaina te \left(9b\right)^{2}.

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

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

$$\frac{81b^{2}\times \left(2b\right)^{3}}{8^{2}\times 3^{3}}$$

Whakarohaina te \left(2b\right)^{3}.

$$\frac{81b^{2}\times 2^{3}b^{3}}{8^{2}\times 3^{3}}$$

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

$$\frac{81b^{2}\times 8b^{3}}{8^{2}\times 3^{3}}$$

Whakareatia te 81 ki te 8, ka 648.

$$\frac{648b^{2}b^{3}}{8^{2}\times 3^{3}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 3 kia riro ai te 5.

$$\frac{648b^{5}}{8^{2}\times 3^{3}}$$

Tātaihia te 8 mā te pū o 2, kia riro ko 64.

$$\frac{648b^{5}}{64\times 3^{3}}$$

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

$$\frac{648b^{5}}{64\times 27}$$

Whakareatia te 64 ki te 27, ka 1728.

$$\frac{648b^{5}}{1728}$$

Whakawehea te 648b^{5} ki te 1728, kia riro ko \frac{3}{8}b^{5}.

$$\frac{3}{8}b^{5}$$