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

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

Evalwa

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

Passi tas-Soluzzjonijiet

Immultiplika 33 u 3 biex tikseb 99.

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

Żid 99 u 1 biex tikseb 100.

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

Ikkalkula -0.1 bil-power ta' 2 u tikseb 0.01.

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

Immultiplika \frac{100}{3} u 0.01 biex tikseb \frac{1}{3}.

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

Ikkalkula -2.4 bil-power ta' 2 u tikseb 5.76.

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

Esprimi \frac{\frac{1}{3}}{5.76} bħala frazzjoni waħda.

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

Immultiplika 3 u 5.76 biex tikseb 17.28.

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

Espandi \frac{1}{17.28} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'100.

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

Naqqas il-frazzjoni \frac{100}{1728} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.

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

Immultiplika 4 u 6 biex tikseb 24.

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

Żid 24 u 1 biex tikseb 25.

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

Ikkalkula -0.2 bil-power ta' 0 u tikseb 1.

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

Immultiplika \frac{25}{6} u 1 biex tikseb \frac{25}{6}.

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

Iddividi \frac{25}{432} b'\frac{25}{6} billi timmultiplika \frac{25}{432} bir-reċiproku ta' \frac{25}{6}.

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

Immultiplika \frac{25}{432} u \frac{6}{25} biex tikseb \frac{1}{72}.

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

Fattur

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