Whakaoti i te (6^-1-8^-1)+(2-(3^-1)^2)?

$$( 6 ^ { - 1 } - 8 ^ { - 1 } ) + ( 2 - ( 3 ^ { - 1 } ) ^ { 2 } ) ?$$

Aromātai

$$\frac{139}{72}\approx 1.930555556$$

Ngā Upane Otinga

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te -1 me te 2 kia riro ai te -2.

$$6^{-1}-8^{-1}+2-3^{-2}$$

Tātaihia te 6 mā te pū o -1, kia riro ko \frac{1}{6}.

$$\frac{1}{6}-8^{-1}+2-3^{-2}$$

Tātaihia te 8 mā te pū o -1, kia riro ko \frac{1}{8}.

$$\frac{1}{6}-\frac{1}{8}+2-3^{-2}$$

Tangohia te \frac{1}{8} i te \frac{1}{6}, ka \frac{1}{24}.

$$\frac{1}{24}+2-3^{-2}$$

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

$$\frac{1}{24}+2-\frac{1}{9}$$

Tangohia te \frac{1}{9} i te 2, ka \frac{17}{9}.

$$\frac{1}{24}+\frac{17}{9}$$

Tāpirihia te \frac{1}{24} ki te \frac{17}{9}, ka \frac{139}{72}.

$$\frac{139}{72}$$

Tauwehe

$$\frac{139}{2 ^ {3} \cdot 3 ^ {2}} = 1\frac{67}{72} = 1.9305555555555556$$