Whakaoti i te frac{-(3^{2}*2)^{-4}*3^{4}}{(2*3)^{3}*2^2*3^3-(2^3-3)^-4}

$$\frac { - ( 3 ^ { 2 } \cdot 2 ) ^ { - 4 } \cdot 3 ^ { 4 } } { ( 2 \cdot 3 ) ^ { 3 } \cdot 2 ^ { 2 } \cdot 3 ^ { 3 } - ( 2 ^ { 3 } - 3 ) ^ { - 4 } }$$

Aromātai

$$-\frac{625}{18895678704}\approx -0.000000033$$

Ngā Upane Otinga

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

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

Whakareatia te 9 ki te 2, ka 18.

$$\frac{\left(-18^{-4}\right)\times 3^{4}}{\left(2\times 3\right)^{3}\times 2^{2}\times 3^{3}-\left(2^{3}-3\right)^{-4}}$$

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

$$\frac{-\frac{1}{104976}\times 3^{4}}{\left(2\times 3\right)^{3}\times 2^{2}\times 3^{3}-\left(2^{3}-3\right)^{-4}}$$

Tātaihia te 3 mā te pū o 4, kia riro ko 81.

$$\frac{-\frac{1}{104976}\times 81}{\left(2\times 3\right)^{3}\times 2^{2}\times 3^{3}-\left(2^{3}-3\right)^{-4}}$$

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

$$\frac{-\frac{1}{1296}}{\left(2\times 3\right)^{3}\times 2^{2}\times 3^{3}-\left(2^{3}-3\right)^{-4}}$$

Whakareatia te 2 ki te 3, ka 6.

$$\frac{-\frac{1}{1296}}{6^{3}\times 2^{2}\times 3^{3}-\left(2^{3}-3\right)^{-4}}$$

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

$$\frac{-\frac{1}{1296}}{216\times 2^{2}\times 3^{3}-\left(2^{3}-3\right)^{-4}}$$

Tātaihia te 2 mā te pū o 2, kia riro ko 4.

$$\frac{-\frac{1}{1296}}{216\times 4\times 3^{3}-\left(2^{3}-3\right)^{-4}}$$

Whakareatia te 216 ki te 4, ka 864.

$$\frac{-\frac{1}{1296}}{864\times 3^{3}-\left(2^{3}-3\right)^{-4}}$$

Tātaihia te 3 mā te pū o 3, kia riro ko 27.

$$\frac{-\frac{1}{1296}}{864\times 27-\left(2^{3}-3\right)^{-4}}$$

Whakareatia te 864 ki te 27, ka 23328.

$$\frac{-\frac{1}{1296}}{23328-\left(2^{3}-3\right)^{-4}}$$

Tātaihia te 2 mā te pū o 3, kia riro ko 8.

$$\frac{-\frac{1}{1296}}{23328-\left(8-3\right)^{-4}}$$

Tangohia te 3 i te 8, ka 5.

$$\frac{-\frac{1}{1296}}{23328-5^{-4}}$$

Tātaihia te 5 mā te pū o -4, kia riro ko \frac{1}{625}.

$$\frac{-\frac{1}{1296}}{23328-\frac{1}{625}}$$

Tangohia te \frac{1}{625} i te 23328, ka \frac{14579999}{625}.

$$\frac{-\frac{1}{1296}}{\frac{14579999}{625}}$$

Whakawehe -\frac{1}{1296} ki te \frac{14579999}{625} mā te whakarea -\frac{1}{1296} ki te tau huripoki o \frac{14579999}{625}.

$$-\frac{1}{1296}\times \frac{625}{14579999}$$

Whakareatia te -\frac{1}{1296} ki te \frac{625}{14579999}, ka -\frac{625}{18895678704}.

$$-\frac{625}{18895678704}$$

Tauwehe

$$-\frac{625}{18895678704} = -3.307634564445122 \times 10^{-8}$$