Whakaoti i te (2/3)^-2/6^-1+7^0

$$\frac { ( \frac { 2 } { 3 } ) ^ { - 2 } } { 6 ^ { - 1 } + 7 ^ { 0 } }$$

Aromātai

$$\frac{27}{14}\approx 1.928571429$$

Ngā Upane Otinga

Tātaihia te \frac{2}{3} mā te pū o -2, kia riro ko \frac{9}{4}.

$$\frac{\frac{9}{4}}{6^{-1}+7^{0}}$$

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

$$\frac{\frac{9}{4}}{\frac{1}{6}+7^{0}}$$

Tātaihia te 7 mā te pū o 0, kia riro ko 1.

$$\frac{\frac{9}{4}}{\frac{1}{6}+1}$$

Tāpirihia te \frac{1}{6} ki te 1, ka \frac{7}{6}.

$$\frac{\frac{9}{4}}{\frac{7}{6}}$$

Whakawehe \frac{9}{4} ki te \frac{7}{6} mā te whakarea \frac{9}{4} ki te tau huripoki o \frac{7}{6}.

$$\frac{9}{4}\times \frac{6}{7}$$

Whakareatia te \frac{9}{4} ki te \frac{6}{7}, ka \frac{27}{14}.

$$\frac{27}{14}$$

Tauwehe

$$\frac{3 ^ {3}}{2 \cdot 7} = 1\frac{13}{14} = 1.9285714285714286$$