Whakaoti i te [(5/3)^4+(3/5)^-2]div17/9

$$[ ( \frac { 5 } { 3 } ) ^ { 4 } + ( \frac { 3 } { 5 } ) ^ { - 2 } ] \div \frac { 17 } { 9 }$$

Aromātai

$$\frac{50}{9}\approx 5.555555556$$

Ngā Upane Otinga

Tātaihia te \frac{5}{3} mā te pū o 4, kia riro ko \frac{625}{81}.

$$\frac{\frac{625}{81}+\left(\frac{3}{5}\right)^{-2}}{\frac{17}{9}}$$

Tātaihia te \frac{3}{5} mā te pū o -2, kia riro ko \frac{25}{9}.

$$\frac{\frac{625}{81}+\frac{25}{9}}{\frac{17}{9}}$$

Tāpirihia te \frac{625}{81} ki te \frac{25}{9}, ka \frac{850}{81}.

$$\frac{\frac{850}{81}}{\frac{17}{9}}$$

Whakawehe \frac{850}{81} ki te \frac{17}{9} mā te whakarea \frac{850}{81} ki te tau huripoki o \frac{17}{9}.

$$\frac{850}{81}\times \frac{9}{17}$$

Whakareatia te \frac{850}{81} ki te \frac{9}{17}, ka \frac{50}{9}.

$$\frac{50}{9}$$

Tauwehe

$$\frac{2 \cdot 5 ^ {2}}{3 ^ {2}} = 5\frac{5}{9} = 5.555555555555555$$