Whakaoti i te [(2/7)^-3*sqrt{64/49}+1]div(1/5)^-4=

$$[ ( \frac { 2 } { 7 } ) ^ { - 3 } \cdot \sqrt { \frac { 64 } { 49 } } + 1 ] \div ( \frac { 1 } { 5 } ) ^ { - 4 } =$$

Aromātai

$$\frac{2}{25}=0.08$$

Ngā Upane Otinga

Tātaihia te \frac{2}{7} mā te pū o -3, kia riro ko \frac{343}{8}.

$$\frac{\frac{343}{8}\sqrt{\frac{64}{49}}+1}{\left(\frac{1}{5}\right)^{-4}}$$

Tuhia anō te pūtake rua o te whakawehenga \frac{64}{49} hei whakawehenga o ngā pūtake rua \frac{\sqrt{64}}{\sqrt{49}}. Tuhia te pūtakerua o te taurunga me te tauraro.

$$\frac{\frac{343}{8}\times \frac{8}{7}+1}{\left(\frac{1}{5}\right)^{-4}}$$

Whakareatia te \frac{343}{8} ki te \frac{8}{7}, ka 49.

$$\frac{49+1}{\left(\frac{1}{5}\right)^{-4}}$$

Tāpirihia te 49 ki te 1, ka 50.

$$\frac{50}{\left(\frac{1}{5}\right)^{-4}}$$

Tātaihia te \frac{1}{5} mā te pū o -4, kia riro ko 625.

$$\frac{50}{625}$$

Whakahekea te hautanga \frac{50}{625} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 25.

$$\frac{2}{25}$$

Tauwehe

$$\frac{2}{5 ^ {2}} = 0.08$$