Whakaoti i te 3^2left(2^-1right)^3{left(frac{1/3right)}^3{left(1/4right)}^-2}{6^-3}

$$\frac{ { 3 }^{ 2 } { \left( { 2 }^{ -1 } \right) }^{ 3 } { \left( \frac{ 1 }{ 3 } \right) }^{ 3 } { \left( \frac{ 1 }{ 4 } \right) }^{ -2 } }{ { 6 }^{ -3 } }$$

Aromātai

$$144$$

Ngā Upane Otinga

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te -1 me te 3 kia riro ai te -3.

$$\frac{3^{2}\times 2^{-3}\times \left(\frac{1}{3}\right)^{3}\times \left(\frac{1}{4}\right)^{-2}}{6^{-3}}$$

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

$$\frac{9\times 2^{-3}\times \left(\frac{1}{3}\right)^{3}\times \left(\frac{1}{4}\right)^{-2}}{6^{-3}}$$

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

$$\frac{9\times \frac{1}{8}\times \left(\frac{1}{3}\right)^{3}\times \left(\frac{1}{4}\right)^{-2}}{6^{-3}}$$

Whakareatia te 9 ki te \frac{1}{8}, ka \frac{9}{8}.

$$\frac{\frac{9}{8}\times \left(\frac{1}{3}\right)^{3}\times \left(\frac{1}{4}\right)^{-2}}{6^{-3}}$$

Tātaihia te \frac{1}{3} mā te pū o 3, kia riro ko \frac{1}{27}.

$$\frac{\frac{9}{8}\times \frac{1}{27}\times \left(\frac{1}{4}\right)^{-2}}{6^{-3}}$$

Whakareatia te \frac{9}{8} ki te \frac{1}{27}, ka \frac{1}{24}.

$$\frac{\frac{1}{24}\times \left(\frac{1}{4}\right)^{-2}}{6^{-3}}$$

Tātaihia te \frac{1}{4} mā te pū o -2, kia riro ko 16.

$$\frac{\frac{1}{24}\times 16}{6^{-3}}$$

Whakareatia te \frac{1}{24} ki te 16, ka \frac{2}{3}.

$$\frac{\frac{2}{3}}{6^{-3}}$$

Tātaihia te 6 mā te pū o -3, kia riro ko \frac{1}{216}.

$$\frac{\frac{2}{3}}{\frac{1}{216}}$$

Whakawehe \frac{2}{3} ki te \frac{1}{216} mā te whakarea \frac{2}{3} ki te tau huripoki o \frac{1}{216}.

$$\frac{2}{3}\times 216$$

Whakareatia te \frac{2}{3} ki te 216, ka 144.

$$144$$

Tauwehe

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