Whakaoti i te 3^2-3^-2/3^2+3^2

$$\frac { 3 ^ { 2 } - 3 ^ { - 2 } } { 3 ^ { 2 } + 3 ^ { 2 } }$$

Aromātai

$$\frac{40}{81}\approx 0.49382716$$

Ngā Upane Otinga

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

$$\frac{9-3^{-2}}{3^{2}+3^{2}}$$

Tātaihia te 3 mā te pū o -2, kia riro ko \frac{1}{9}.

$$\frac{9-\frac{1}{9}}{3^{2}+3^{2}}$$

Tangohia te \frac{1}{9} i te 9, ka \frac{80}{9}.

$$\frac{\frac{80}{9}}{3^{2}+3^{2}}$$

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

$$\frac{\frac{80}{9}}{9+3^{2}}$$

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

$$\frac{\frac{80}{9}}{9+9}$$

Tāpirihia te 9 ki te 9, ka 18.

$$\frac{\frac{80}{9}}{18}$$

Tuhia te \frac{\frac{80}{9}}{18} hei hautanga kotahi.

$$\frac{80}{9\times 18}$$

Whakareatia te 9 ki te 18, ka 162.

$$\frac{80}{162}$$

Whakahekea te hautanga \frac{80}{162} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{40}{81}$$

Tauwehe

$$\frac{2 ^ {3} \cdot 5}{3 ^ {4}} = 0.49382716049382713$$