Whakaoti i te 5^-2*6^-3*5^4/6^-6

$$5 ^ { - 2 } \cdot 6 ^ { - 3 } \cdot \frac { 5 ^ { 4 } } { 6 ^ { - 6 } }$$

Aromātai

$$5400$$

Ngā Upane Otinga

Tātaihia te 5 mā te pū o -2, kia riro ko \frac{1}{25}.

$$\frac{1}{25}\times 6^{-3}\times \frac{5^{4}}{6^{-6}}$$

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

$$\frac{1}{25}\times \frac{1}{216}\times \frac{5^{4}}{6^{-6}}$$

Whakareatia te \frac{1}{25} ki te \frac{1}{216}, ka \frac{1}{5400}.

$$\frac{1}{5400}\times \frac{5^{4}}{6^{-6}}$$

Tātaihia te 5 mā te pū o 4, kia riro ko 625.

$$\frac{1}{5400}\times \frac{625}{6^{-6}}$$

Tātaihia te 6 mā te pū o -6, kia riro ko \frac{1}{46656}.

$$\frac{1}{5400}\times \frac{625}{\frac{1}{46656}}$$

Whakawehe 625 ki te \frac{1}{46656} mā te whakarea 625 ki te tau huripoki o \frac{1}{46656}.

$$\frac{1}{5400}\times 625\times 46656$$

Whakareatia te 625 ki te 46656, ka 29160000.

$$\frac{1}{5400}\times 29160000$$

Whakareatia te \frac{1}{5400} ki te 29160000, ka 5400.

$$5400$$

Tauwehe

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