Whakaoti i te left(66^2right)^2sqrt{5/2+3/5(4/6){left(5/5right)}^-2}

$${ \left(6 { 6 }^{ 2 } \right) }^{ 2 } \sqrt{ \frac{ 5 }{ 2 } + \frac{ 3 }{ 5 } ( \frac{ 4 }{ 6 } ) { \left( \frac{ 5 }{ 5 } \right) }^{ -2 } }$$

Aromātai

$$\frac{23328\sqrt{290}}{5}\approx 79452.305028866$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te 2 kia riro ai te 3.

$$\left(6^{3}\right)^{2}\sqrt{\frac{5}{2}+\frac{3}{5}\times \frac{4}{6}\times \left(\frac{5}{5}\right)^{-2}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te 2 kia riro ai te 6.

$$6^{6}\sqrt{\frac{5}{2}+\frac{3}{5}\times \frac{4}{6}\times \left(\frac{5}{5}\right)^{-2}}$$

Whakawehea te 5 ki te 5, kia riro ko 1.

$$6^{6}\sqrt{\frac{5}{2}+\frac{3}{5}\times \frac{4}{6}\times 1^{-2}}$$

Tātaihia te 6 mā te pū o 6, kia riro ko 46656.

$$46656\sqrt{\frac{5}{2}+\frac{3}{5}\times \frac{4}{6}\times 1^{-2}}$$

Whakahekea te hautanga \frac{4}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$46656\sqrt{\frac{5}{2}+\frac{3}{5}\times \frac{2}{3}\times 1^{-2}}$$

Whakareatia te \frac{3}{5} ki te \frac{2}{3}, ka \frac{2}{5}.

$$46656\sqrt{\frac{5}{2}+\frac{2}{5}\times 1^{-2}}$$

Tātaihia te 1 mā te pū o -2, kia riro ko 1.

$$46656\sqrt{\frac{5}{2}+\frac{2}{5}\times 1}$$

Whakareatia te \frac{2}{5} ki te 1, ka \frac{2}{5}.

$$46656\sqrt{\frac{5}{2}+\frac{2}{5}}$$

Tāpirihia te \frac{5}{2} ki te \frac{2}{5}, ka \frac{29}{10}.

$$46656\sqrt{\frac{29}{10}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{29}{10}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{29}}{\sqrt{10}}.

$$46656\times \frac{\sqrt{29}}{\sqrt{10}}$$

Whakangāwaritia te tauraro o \frac{\sqrt{29}}{\sqrt{10}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{10}.

$$46656\times \frac{\sqrt{29}\sqrt{10}}{\left(\sqrt{10}\right)^{2}}$$

Ko te pūrua o \sqrt{10} ko 10.

$$46656\times \frac{\sqrt{29}\sqrt{10}}{10}$$

Hei whakarea \sqrt{29} me \sqrt{10}, whakareatia ngā tau i raro i te pūtake rua.

$$46656\times \frac{\sqrt{290}}{10}$$

Tuhia te 46656\times \frac{\sqrt{290}}{10} hei hautanga kotahi.

$$\frac{46656\sqrt{290}}{10}$$

Whakawehea te 46656\sqrt{290} ki te 10, kia riro ko \frac{23328}{5}\sqrt{290}.

$$\frac{23328}{5}\sqrt{290}$$