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

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

Luacháil

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

Céimeanna Réitigh

Méadaigh 33 agus 3 chun 99 a fháil.

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

Suimigh 99 agus 1 chun 100 a fháil.

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

Ríomh cumhacht -0.1 de 2 agus faigh 0.01.

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

Méadaigh \frac{100}{3} agus 0.01 chun \frac{1}{3} a fháil.

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

Ríomh cumhacht -2.4 de 2 agus faigh 5.76.

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

Scríobh \frac{\frac{1}{3}}{5.76} mar chodán aonair.

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

Méadaigh 3 agus 5.76 chun 17.28 a fháil.

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

Fairsingigh \frac{1}{17.28} tríd an t-uimhreoir agus an t-ainmneoir araon a iolrú faoi 100.

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

Laghdaigh an codán \frac{100}{1728} chuig na téarmaí is ísle trí 4 a bhaint agus a chealú.

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

Méadaigh 4 agus 6 chun 24 a fháil.

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

Suimigh 24 agus 1 chun 25 a fháil.

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

Ríomh cumhacht -0.2 de 0 agus faigh 1.

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

Méadaigh \frac{25}{6} agus 1 chun \frac{25}{6} a fháil.

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

Roinn \frac{25}{432} faoi \frac{25}{6} trí \frac{25}{432} a mhéadú faoi dheilín \frac{25}{6}.

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

Méadaigh \frac{25}{432} agus \frac{6}{25} chun \frac{1}{72} a fháil.

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

Fachtóirigh

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