Whakaoti i te 331/3*(-0.1)^2div(-2.4)^2div[41/6*(-0.2)^0]

$$33 \frac { 1 } { 3 } \times ( - 0.1 ) ^ { 2 } \div ( - 2.4 ) ^ { 2 } \div [ 4 \frac { 1 } { 6 } \times ( - 0.2 ) ^ { 0 } ]$$

Aromātai

$$\frac{1}{72}\approx 0.013888889$$

Ngā Upane Otinga

Whakareatia te 33 ki te 3, ka 99.

$$\frac{\frac{\frac{99+1}{3}\left(-0.1\right)^{2}}{\left(-2.4\right)^{2}}}{\frac{4\times 6+1}{6}\left(-0.2\right)^{0}}$$

Tāpirihia te 99 ki te 1, ka 100.

$$\frac{\frac{\frac{100}{3}\left(-0.1\right)^{2}}{\left(-2.4\right)^{2}}}{\frac{4\times 6+1}{6}\left(-0.2\right)^{0}}$$

Tātaihia te -0.1 mā te pū o 2, kia riro ko 0.01.

$$\frac{\frac{\frac{100}{3}\times 0.01}{\left(-2.4\right)^{2}}}{\frac{4\times 6+1}{6}\left(-0.2\right)^{0}}$$

Whakareatia te \frac{100}{3} ki te 0.01, ka \frac{1}{3}.

$$\frac{\frac{\frac{1}{3}}{\left(-2.4\right)^{2}}}{\frac{4\times 6+1}{6}\left(-0.2\right)^{0}}$$

Tātaihia te -2.4 mā te pū o 2, kia riro ko 5.76.

$$\frac{\frac{\frac{1}{3}}{5.76}}{\frac{4\times 6+1}{6}\left(-0.2\right)^{0}}$$

Tuhia te \frac{\frac{1}{3}}{5.76} hei hautanga kotahi.

$$\frac{\frac{1}{3\times 5.76}}{\frac{4\times 6+1}{6}\left(-0.2\right)^{0}}$$

Whakareatia te 3 ki te 5.76, ka 17.28.

$$\frac{\frac{1}{17.28}}{\frac{4\times 6+1}{6}\left(-0.2\right)^{0}}$$

Whakarohaina te \frac{1}{17.28} mā te whakarea i te taurunga me te tauraro ki te 100.

$$\frac{\frac{100}{1728}}{\frac{4\times 6+1}{6}\left(-0.2\right)^{0}}$$

Whakahekea te hautanga \frac{100}{1728} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{\frac{25}{432}}{\frac{4\times 6+1}{6}\left(-0.2\right)^{0}}$$

Whakareatia te 4 ki te 6, ka 24.

$$\frac{\frac{25}{432}}{\frac{24+1}{6}\left(-0.2\right)^{0}}$$

Tāpirihia te 24 ki te 1, ka 25.

$$\frac{\frac{25}{432}}{\frac{25}{6}\left(-0.2\right)^{0}}$$

Tātaihia te -0.2 mā te pū o 0, kia riro ko 1.

$$\frac{\frac{25}{432}}{\frac{25}{6}\times 1}$$

Whakareatia te \frac{25}{6} ki te 1, ka \frac{25}{6}.

$$\frac{\frac{25}{432}}{\frac{25}{6}}$$

Whakawehe \frac{25}{432} ki te \frac{25}{6} mā te whakarea \frac{25}{432} ki te tau huripoki o \frac{25}{6}.

$$\frac{25}{432}\times \frac{6}{25}$$

Whakareatia te \frac{25}{432} ki te \frac{6}{25}, ka \frac{1}{72}.

$$\frac{1}{72}$$

Tauwehe

$$\frac{1}{2 ^ {3} \cdot 3 ^ {2}} = 0.013888888888888888$$