Issolvi [(-1)^{3}div2/9+2^{200}*(-05)^200-3^3*(-3/2)^2]div|-4div2*(-1/2)^2|

$$[ ( - 1 ) ^ { 3 } \div \frac { 2 } { 9 } + 2 ^ { 200 } \times ( - 05 ) ^ { 200 } - 3 ^ { 3 } \times ( - \frac { 3 } { 2 } ) ^ { 2 } ] \div | - 4 \div 2 \times ( - \frac { 1 } { 2 } ) ^ { 2 } |$$

Evalwa

$$-\frac{261}{2}=-130.5$$

Passi tas-Soluzzjonijiet

Ikkalkula -1 bil-power ta' 3 u tikseb -1.

$$\frac{\frac{-1}{\frac{2}{9}}+2^{200}\times \left(0\times 5\right)^{200}-3^{3}\left(-\frac{3}{2}\right)^{2}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

Iddividi -1 b'\frac{2}{9} billi timmultiplika -1 bir-reċiproku ta' \frac{2}{9}.

$$\frac{-\frac{9}{2}+2^{200}\times \left(0\times 5\right)^{200}-3^{3}\left(-\frac{3}{2}\right)^{2}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

Ikkalkula 2 bil-power ta' 200 u tikseb 1606938044258990275541962092341162602522202993782792835301376.

$$\frac{-\frac{9}{2}+1606938044258990275541962092341162602522202993782792835301376\times \left(0\times 5\right)^{200}-3^{3}\left(-\frac{3}{2}\right)^{2}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

Immultiplika 0 u 5 biex tikseb 0.

$$\frac{-\frac{9}{2}+1606938044258990275541962092341162602522202993782792835301376\times 0^{200}-3^{3}\left(-\frac{3}{2}\right)^{2}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

Ikkalkula 0 bil-power ta' 200 u tikseb 0.

$$\frac{-\frac{9}{2}+1606938044258990275541962092341162602522202993782792835301376\times 0-3^{3}\left(-\frac{3}{2}\right)^{2}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

Immultiplika 1606938044258990275541962092341162602522202993782792835301376 u 0 biex tikseb 0.

$$\frac{-\frac{9}{2}+0-3^{3}\left(-\frac{3}{2}\right)^{2}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

Żid -\frac{9}{2} u 0 biex tikseb -\frac{9}{2}.

$$\frac{-\frac{9}{2}-3^{3}\left(-\frac{3}{2}\right)^{2}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

Ikkalkula 3 bil-power ta' 3 u tikseb 27.

$$\frac{-\frac{9}{2}-27\left(-\frac{3}{2}\right)^{2}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

Ikkalkula -\frac{3}{2} bil-power ta' 2 u tikseb \frac{9}{4}.

$$\frac{-\frac{9}{2}-27\times \frac{9}{4}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

Immultiplika 27 u \frac{9}{4} biex tikseb \frac{243}{4}.

$$\frac{-\frac{9}{2}-\frac{243}{4}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

Naqqas \frac{243}{4} minn -\frac{9}{2} biex tikseb -\frac{261}{4}.

$$\frac{-\frac{261}{4}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

Iddividi -4 b'2 biex tikseb-2.

$$\frac{-\frac{261}{4}}{|-2\left(-\frac{1}{2}\right)^{2}|}$$

Ikkalkula -\frac{1}{2} bil-power ta' 2 u tikseb \frac{1}{4}.

$$\frac{-\frac{261}{4}}{|-2\times \frac{1}{4}|}$$

Immultiplika -2 u \frac{1}{4} biex tikseb -\frac{1}{2}.

$$\frac{-\frac{261}{4}}{|-\frac{1}{2}|}$$

Il-valur assolut ta' numru reali a huwa a meta a\geq 0, jew -a meta a<0. Il-valur assolut ta' -\frac{1}{2} huwa \frac{1}{2}.

$$\frac{-\frac{261}{4}}{\frac{1}{2}}$$

Iddividi -\frac{261}{4} b'\frac{1}{2} billi timmultiplika -\frac{261}{4} bir-reċiproku ta' \frac{1}{2}.

$$-\frac{261}{4}\times 2$$

Immultiplika -\frac{261}{4} u 2 biex tikseb -\frac{261}{2}.

$$-\frac{261}{2}$$

Fattur

$$-\frac{261}{2} = -130\frac{1}{2} = -130.5$$