Whakaoti i te 2^0-3^-2/2-2(2)^-2

$$\frac { 2 ^ { 0 } - 3 ^ { - 2 } } { 2 - 2 ( 2 ) ^ { - 2 } }$$

Aromātai

$$\frac{16}{27}\approx 0.592592593$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te -2 kia riro ai te -1.

$$\frac{2^{0}-3^{-2}}{2-2^{-1}}$$

Tātaihia te 2 mā te pū o 0, kia riro ko 1.

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

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

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

Tangohia te \frac{1}{9} i te 1, ka \frac{8}{9}.

$$\frac{\frac{8}{9}}{2-2^{-1}}$$

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

$$\frac{\frac{8}{9}}{2-\frac{1}{2}}$$

Tangohia te \frac{1}{2} i te 2, ka \frac{3}{2}.

$$\frac{\frac{8}{9}}{\frac{3}{2}}$$

Whakawehe \frac{8}{9} ki te \frac{3}{2} mā te whakarea \frac{8}{9} ki te tau huripoki o \frac{3}{2}.

$$\frac{8}{9}\times \frac{2}{3}$$

Whakareatia te \frac{8}{9} ki te \frac{2}{3}, ka \frac{16}{27}.

$$\frac{16}{27}$$

Tauwehe

$$\frac{2 ^ {4}}{3 ^ {3}} = 0.5925925925925926$$