Whakaoti i te {left(sqrt{1/9+frac{6/18}}{{left(5-23/3right)}^2}right)}^3

$${ \left( \frac{ \sqrt{ \frac{ 1 }{ 9 } + \frac{ 6 }{ 18 } } }{ { \left(5- \frac{ 23 }{ 3 } \right) }^{ 2 } } \right) }^{ 3 }$$

Aromātai

$$\frac{27}{32768}=0.000823975$$

Ngā Upane Otinga

Whakahekea te hautanga \frac{6}{18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$\left(\frac{\sqrt{\frac{1}{9}+\frac{1}{3}}}{\left(5-\frac{23}{3}\right)^{2}}\right)^{3}$$

Tāpirihia te \frac{1}{9} ki te \frac{1}{3}, ka \frac{4}{9}.

$$\left(\frac{\sqrt{\frac{4}{9}}}{\left(5-\frac{23}{3}\right)^{2}}\right)^{3}$$

Tuhia anō te pūtake rua o te whakawehenga \frac{4}{9} hei whakawehenga o ngā pūtake rua \frac{\sqrt{4}}{\sqrt{9}}. Tuhia te pūtakerua o te taurunga me te tauraro.

$$\left(\frac{\frac{2}{3}}{\left(5-\frac{23}{3}\right)^{2}}\right)^{3}$$

Tangohia te \frac{23}{3} i te 5, ka -\frac{8}{3}.

$$\left(\frac{\frac{2}{3}}{\left(-\frac{8}{3}\right)^{2}}\right)^{3}$$

Tātaihia te -\frac{8}{3} mā te pū o 2, kia riro ko \frac{64}{9}.

$$\left(\frac{\frac{2}{3}}{\frac{64}{9}}\right)^{3}$$

Whakawehe \frac{2}{3} ki te \frac{64}{9} mā te whakarea \frac{2}{3} ki te tau huripoki o \frac{64}{9}.

$$\left(\frac{2}{3}\times \frac{9}{64}\right)^{3}$$

Whakareatia te \frac{2}{3} ki te \frac{9}{64}, ka \frac{3}{32}.

$$\left(\frac{3}{32}\right)^{3}$$

Tātaihia te \frac{3}{32} mā te pū o 3, kia riro ko \frac{27}{32768}.

$$\frac{27}{32768}$$

Tauwehe

$$\frac{3 ^ {3}}{2 ^ {15}} = 0.000823974609375$$