Whakaoti i te -9^-2+(9^1/6^2)^-1

$$- 9 ^ { - 2 } + ( \frac { 9 ^ { 1 } } { 6 ^ { 2 } } ) ^ { - 1 }$$

Aromātai

$$\frac{323}{81}\approx 3.987654321$$

Ngā Upane Otinga

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

$$-\frac{1}{81}+\left(\frac{9^{1}}{6^{2}}\right)^{-1}$$

Tātaihia te 9 mā te pū o 1, kia riro ko 9.

$$-\frac{1}{81}+\left(\frac{9}{6^{2}}\right)^{-1}$$

Tātaihia te 6 mā te pū o 2, kia riro ko 36.

$$-\frac{1}{81}+\left(\frac{9}{36}\right)^{-1}$$

Whakahekea te hautanga \frac{9}{36} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 9.

$$-\frac{1}{81}+\left(\frac{1}{4}\right)^{-1}$$

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

$$-\frac{1}{81}+4$$

Tāpirihia te -\frac{1}{81} ki te 4, ka \frac{323}{81}.

$$\frac{323}{81}$$

Tauwehe

$$\frac{17 \cdot 19}{3 ^ {4}} = 3\frac{80}{81} = 3.9876543209876543$$