Whakaoti i te [sqrt{1/9+frac{6/18}}{5-23/3}]^3=

$$[ \frac { \sqrt { \frac { 1 } { 9 } + \frac { 6 } { 18 } } } { 5 - \frac { 23 } { 3 } } ] ^ { 3 } =$$

Aromātai

$$-\frac{1}{64}=-0.015625$$

Ngā Upane Otinga

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

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

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

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

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.

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

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

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

Whakawehe \frac{2}{3} ki te -\frac{8}{3} mā te whakarea \frac{2}{3} ki te tau huripoki o -\frac{8}{3}.

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

Whakareatia te \frac{2}{3} ki te -\frac{3}{8}, ka -\frac{1}{4}.

$$\left(-\frac{1}{4}\right)^{3}$$

Tātaihia te -\frac{1}{4} mā te pū o 3, kia riro ko -\frac{1}{64}.

$$-\frac{1}{64}$$

Tauwehe

$$-\frac{1}{64} = -0.015625$$