Whakaoti i te (18^2)^-2*81/6^3*108*24^-4=

$$\frac { ( 18 ^ { 2 } ) ^ { - 2 } \cdot 81 } { 6 ^ { 3 } \cdot 108 \cdot 24 ^ { - 4 } } =$$

Aromātai

$$\frac{8}{729}\approx 0.010973937$$

Ngā Upane Otinga

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 2 me te -2 kia riro ai te -4.

$$\frac{18^{-4}\times 81}{6^{3}\times 108\times 24^{-4}}$$

Me whakakore tahi te 27 i te taurunga me te tauraro.

$$\frac{3\times 18^{-4}}{4\times 6^{3}\times 24^{-4}}$$

Tātaihia te 18 mā te pū o -4, kia riro ko \frac{1}{104976}.

$$\frac{3\times \frac{1}{104976}}{4\times 6^{3}\times 24^{-4}}$$

Whakareatia te 3 ki te \frac{1}{104976}, ka \frac{1}{34992}.

$$\frac{\frac{1}{34992}}{4\times 6^{3}\times 24^{-4}}$$

Tātaihia te 6 mā te pū o 3, kia riro ko 216.

$$\frac{\frac{1}{34992}}{4\times 216\times 24^{-4}}$$

Whakareatia te 4 ki te 216, ka 864.

$$\frac{\frac{1}{34992}}{864\times 24^{-4}}$$

Tātaihia te 24 mā te pū o -4, kia riro ko \frac{1}{331776}.

$$\frac{\frac{1}{34992}}{864\times \frac{1}{331776}}$$

Whakareatia te 864 ki te \frac{1}{331776}, ka \frac{1}{384}.

$$\frac{\frac{1}{34992}}{\frac{1}{384}}$$

Whakawehe \frac{1}{34992} ki te \frac{1}{384} mā te whakarea \frac{1}{34992} ki te tau huripoki o \frac{1}{384}.

$$\frac{1}{34992}\times 384$$

Whakareatia te \frac{1}{34992} ki te 384, ka \frac{8}{729}.

$$\frac{8}{729}$$

Tauwehe

$$\frac{2 ^ {3}}{3 ^ {6}} = 0.010973936899862825$$