Whakaoti i te 9^2frac{9/{left(6frac{6{sqrt{6}}right)}^2}}{}

$$\frac{ { 9 }^{ 2 } \frac{ 9 }{ { \left(6 \frac{ 6 }{ \sqrt{ 6 } } \right) }^{ 2 } } }{ }$$

Aromātai

$$\frac{27}{8}=3.375$$

Ngā Upane Otinga

Tātaihia te 9 mā te pū o 2, kia riro ko 81.

$$\frac{81\times \frac{9}{\left(6\times \frac{6}{\sqrt{6}}\right)^{2}}}{1}$$

Whakangāwaritia te tauraro o \frac{6}{\sqrt{6}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{6}.

$$\frac{81\times \frac{9}{\left(6\times \frac{6\sqrt{6}}{\left(\sqrt{6}\right)^{2}}\right)^{2}}}{1}$$

Ko te pūrua o \sqrt{6} ko 6.

$$\frac{81\times \frac{9}{\left(6\times \frac{6\sqrt{6}}{6}\right)^{2}}}{1}$$

Me whakakore te 6 me te 6.

$$\frac{81\times \frac{9}{\left(6\sqrt{6}\right)^{2}}}{1}$$

Whakarohaina te \left(6\sqrt{6}\right)^{2}.

$$\frac{81\times \frac{9}{6^{2}\left(\sqrt{6}\right)^{2}}}{1}$$

Tātaihia te 6 mā te pū o 2, kia riro ko 36.

$$\frac{81\times \frac{9}{36\left(\sqrt{6}\right)^{2}}}{1}$$

Ko te pūrua o \sqrt{6} ko 6.

$$\frac{81\times \frac{9}{36\times 6}}{1}$$

Whakareatia te 36 ki te 6, ka 216.

$$\frac{81\times \frac{9}{216}}{1}$$

Whakahekea te hautanga \frac{9}{216} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 9.

$$\frac{81\times \frac{1}{24}}{1}$$

Whakareatia te 81 ki te \frac{1}{24}, ka \frac{27}{8}.

$$\frac{\frac{27}{8}}{1}$$

Ka whakawehea he tau ki te tahi, hua ai ko ia anō.

$$\frac{27}{8}$$

Tauwehe

$$\frac{3 ^ {3}}{2 ^ {3}} = 3\frac{3}{8} = 3.375$$