Whakaoti i te 16^{-frac{2/2}27^{-1}81^frac{1{4}}}{16^-227^-frac{4{2}}81^frac{2{4}}}

$$\frac { 16 ^ { - \frac { 2 } { 2 } } 27 ^ { - 1 } 81 ^ { \frac { 1 } { 4 } } } { 16 ^ { - 2 } 27 ^ { - \frac { 4 } { 2 } } 81 ^ { \frac { 2 } { 4 } } }$$

Aromātai

$$144$$

Ngā Upane Otinga

Whakawehea te 2 ki te 2, kia riro ko 1.

$$\frac{16^{-1}\times 27^{-1}\times 81^{\frac{1}{4}}}{16^{-2}\times 27^{-\frac{4}{2}}\times 81^{\frac{2}{4}}}$$

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

$$\frac{\frac{1}{16}\times 27^{-1}\times 81^{\frac{1}{4}}}{16^{-2}\times 27^{-\frac{4}{2}}\times 81^{\frac{2}{4}}}$$

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

$$\frac{\frac{1}{16}\times \frac{1}{27}\times 81^{\frac{1}{4}}}{16^{-2}\times 27^{-\frac{4}{2}}\times 81^{\frac{2}{4}}}$$

Whakareatia te \frac{1}{16} ki te \frac{1}{27}, ka \frac{1}{432}.

$$\frac{\frac{1}{432}\times 81^{\frac{1}{4}}}{16^{-2}\times 27^{-\frac{4}{2}}\times 81^{\frac{2}{4}}}$$

Tātaihia te 81 mā te pū o \frac{1}{4}, kia riro ko 3.

$$\frac{\frac{1}{432}\times 3}{16^{-2}\times 27^{-\frac{4}{2}}\times 81^{\frac{2}{4}}}$$

Whakareatia te \frac{1}{432} ki te 3, ka \frac{1}{144}.

$$\frac{\frac{1}{144}}{16^{-2}\times 27^{-\frac{4}{2}}\times 81^{\frac{2}{4}}}$$

Tātaihia te 16 mā te pū o -2, kia riro ko \frac{1}{256}.

$$\frac{\frac{1}{144}}{\frac{1}{256}\times 27^{-\frac{4}{2}}\times 81^{\frac{2}{4}}}$$

Whakawehea te 4 ki te 2, kia riro ko 2.

$$\frac{\frac{1}{144}}{\frac{1}{256}\times 27^{-2}\times 81^{\frac{2}{4}}}$$

Tātaihia te 27 mā te pū o -2, kia riro ko \frac{1}{729}.

$$\frac{\frac{1}{144}}{\frac{1}{256}\times \frac{1}{729}\times 81^{\frac{2}{4}}}$$

Whakareatia te \frac{1}{256} ki te \frac{1}{729}, ka \frac{1}{186624}.

$$\frac{\frac{1}{144}}{\frac{1}{186624}\times 81^{\frac{2}{4}}}$$

Whakahekea te hautanga \frac{2}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{\frac{1}{144}}{\frac{1}{186624}\times 81^{\frac{1}{2}}}$$

Tātaihia te 81 mā te pū o \frac{1}{2}, kia riro ko 9.

$$\frac{\frac{1}{144}}{\frac{1}{186624}\times 9}$$

Whakareatia te \frac{1}{186624} ki te 9, ka \frac{1}{20736}.

$$\frac{\frac{1}{144}}{\frac{1}{20736}}$$

Whakawehe \frac{1}{144} ki te \frac{1}{20736} mā te whakarea \frac{1}{144} ki te tau huripoki o \frac{1}{20736}.

$$\frac{1}{144}\times 20736$$

Whakareatia te \frac{1}{144} ki te 20736, ka 144.

$$144$$

Tauwehe

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