Whakaoti i te 7/9+{left(2/3right)}^3-sqrt{1/81}

$$\frac{ 7 }{ 9 } + { \left( \frac{ 2 }{ 3 } \right) }^{ 3 } - \sqrt{ \frac{ 1 }{ 81 } }$$

Aromātai

$$\frac{26}{27}\approx 0.962962963$$

Ngā Upane Otinga

Tātaihia te \frac{2}{3} mā te pū o 3, kia riro ko \frac{8}{27}.

$$\frac{7}{9}+\frac{8}{27}-\sqrt{\frac{1}{81}}$$

Ko te maha noa iti rawa atu o 9 me 27 ko 27. Me tahuri \frac{7}{9} me \frac{8}{27} ki te hautau me te tautūnga 27.

$$\frac{21}{27}+\frac{8}{27}-\sqrt{\frac{1}{81}}$$

Tā te mea he rite te tauraro o \frac{21}{27} me \frac{8}{27}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{21+8}{27}-\sqrt{\frac{1}{81}}$$

Tāpirihia te 21 ki te 8, ka 29.

$$\frac{29}{27}-\sqrt{\frac{1}{81}}$$

Tuhia anō te pūtake rua o te whakawehenga \frac{1}{81} hei whakawehenga o ngā pūtake rua \frac{\sqrt{1}}{\sqrt{81}}. Tuhia te pūtakerua o te taurunga me te tauraro.

$$\frac{29}{27}-\frac{1}{9}$$

Ko te maha noa iti rawa atu o 27 me 9 ko 27. Me tahuri \frac{29}{27} me \frac{1}{9} ki te hautau me te tautūnga 27.

$$\frac{29}{27}-\frac{3}{27}$$

Tā te mea he rite te tauraro o \frac{29}{27} me \frac{3}{27}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{29-3}{27}$$

Tangohia te 3 i te 29, ka 26.

$$\frac{26}{27}$$

Tauwehe

$$\frac{2 \cdot 13}{3 ^ {3}} = 0.9629629629629629$$