Whakaoti i te frac{sqrt{3^6}:5^2}{sqrt{8^2*2^6}}

$$\frac { \sqrt { 3 ^ { 6 } } : 5 ^ { 2 } } { \sqrt { 8 ^ { 2 } \cdot 2 ^ { 6 } } }$$

Aromātai

$$\frac{27}{1600}=0.016875$$

Ngā Upane Otinga

Tātaihia te 3 mā te pū o 6, kia riro ko 729.

$$\frac{\frac{\sqrt{729}}{5^{2}}}{\sqrt{8^{2}\times 2^{6}}}$$

Tātaitia te pūtakerua o 729 kia tae ki 27.

$$\frac{\frac{27}{5^{2}}}{\sqrt{8^{2}\times 2^{6}}}$$

Tātaihia te 5 mā te pū o 2, kia riro ko 25.

$$\frac{\frac{27}{25}}{\sqrt{8^{2}\times 2^{6}}}$$

Tātaihia te 8 mā te pū o 2, kia riro ko 64.

$$\frac{\frac{27}{25}}{\sqrt{64\times 2^{6}}}$$

Tātaihia te 2 mā te pū o 6, kia riro ko 64.

$$\frac{\frac{27}{25}}{\sqrt{64\times 64}}$$

Whakareatia te 64 ki te 64, ka 4096.

$$\frac{\frac{27}{25}}{\sqrt{4096}}$$

Tātaitia te pūtakerua o 4096 kia tae ki 64.

$$\frac{\frac{27}{25}}{64}$$

Tuhia te \frac{\frac{27}{25}}{64} hei hautanga kotahi.

$$\frac{27}{25\times 64}$$

Whakareatia te 25 ki te 64, ka 1600.

$$\frac{27}{1600}$$

Tauwehe

$$\frac{3 ^ {3}}{2 ^ {6} \cdot 5 ^ {2}} = 0.016875$$