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

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

Aromātai

$$\frac{64}{17915931}\approx 0.000003572$$

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.

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

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

$$\frac{\frac{1}{104976}\times 81}{6^{3}+108\times 24^{-4}}$$

Whakareatia te \frac{1}{104976} ki te 81, ka \frac{1}{1296}.

$$\frac{\frac{1}{1296}}{6^{3}+108\times 24^{-4}}$$

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

$$\frac{\frac{1}{1296}}{216+108\times 24^{-4}}$$

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

$$\frac{\frac{1}{1296}}{216+108\times \frac{1}{331776}}$$

Whakareatia te 108 ki te \frac{1}{331776}, ka \frac{1}{3072}.

$$\frac{\frac{1}{1296}}{216+\frac{1}{3072}}$$

Tāpirihia te 216 ki te \frac{1}{3072}, ka \frac{663553}{3072}.

$$\frac{\frac{1}{1296}}{\frac{663553}{3072}}$$

Whakawehe \frac{1}{1296} ki te \frac{663553}{3072} mā te whakarea \frac{1}{1296} ki te tau huripoki o \frac{663553}{3072}.

$$\frac{1}{1296}\times \frac{3072}{663553}$$

Whakareatia te \frac{1}{1296} ki te \frac{3072}{663553}, ka \frac{64}{17915931}.

$$\frac{64}{17915931}$$

Tauwehe

$$\frac{2 ^ {6}}{3 ^ {3} \cdot 11 \cdot 179 \cdot 337} = 3.5722397010794475 \times 10^{-6}$$