Issolvi [(-1)^{3}div2/9+2^{200}*(-0.5)^200-3^3*(-3/2)^2]div|-4div2*(-1/2)^2|

$$[ ( - 1 ) ^ { 3 } \div \frac { 2 } { 9 } + 2 ^ { 200 } \times ( - 0.5 ) ^ { 200 } - 3 ^ { 3 } \times ( - \frac { 3 } { 2 } ) ^ { 2 } ] \div | - 4 \div 2 \times ( - \frac { 1 } { 2 } ) ^ { 2 } |$$

Evalwa

$$-128.5$$

Passi tas-Soluzzjonijiet

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

$$\frac{\frac{-1}{\frac{2}{9}}+2^{200}\left(-0.5\right)^{200}-3^{3}\left(-\frac{3}{2}\right)^{2}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

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

$$\frac{-\frac{9}{2}+2^{200}\left(-0.5\right)^{200}-3^{3}\left(-\frac{3}{2}\right)^{2}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

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

$$\frac{-\frac{9}{2}+1606938044258990275541962092341162602522202993782792835301376\left(-0.5\right)^{200}-3^{3}\left(-\frac{3}{2}\right)^{2}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

Ikkalkula -0.5 bil-power ta' 200 u tikseb 0.00000000000000000000000000000000000000000000000000000000000062230152778611417071440640537801242405902521687211671331011166147896988340353834411839448231257136169569665895551224821247160434722900390625.

$$\frac{-\frac{9}{2}+1606938044258990275541962092341162602522202993782792835301376\times 0.00000000000000000000000000000000000000000000000000000000000062230152778611417071440640537801242405902521687211671331011166147896988340353834411839448231257136169569665895551224821247160434722900390625-3^{3}\left(-\frac{3}{2}\right)^{2}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

Immultiplika 1606938044258990275541962092341162602522202993782792835301376 u 0.00000000000000000000000000000000000000000000000000000000000062230152778611417071440640537801242405902521687211671331011166147896988340353834411839448231257136169569665895551224821247160434722900390625 biex tikseb 1.

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

Ikkonverti 1 fi frazzjoni \frac{2}{2}.

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

Billi -\frac{9}{2} u \frac{2}{2} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

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

Żid -9 u 2 biex tikseb -7.

$$\frac{-\frac{7}{2}-3^{3}\left(-\frac{3}{2}\right)^{2}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

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

$$\frac{-\frac{7}{2}-27\left(-\frac{3}{2}\right)^{2}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

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

$$\frac{-\frac{7}{2}-27\times \frac{9}{4}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

Esprimi 27\times \frac{9}{4} bħala frazzjoni waħda.

$$\frac{-\frac{7}{2}-\frac{27\times 9}{4}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

Immultiplika 27 u 9 biex tikseb 243.

$$\frac{-\frac{7}{2}-\frac{243}{4}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

L-inqas multipli komuni ta' 2 u 4 huwa 4. Ikkonverti -\frac{7}{2} u \frac{243}{4} fi frazzjonijiet bid-denominatur 4.

$$\frac{-\frac{14}{4}-\frac{243}{4}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

Billi -\frac{14}{4} u \frac{243}{4} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{-14-243}{4}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

Naqqas 243 minn -14 biex tikseb -257.

$$\frac{-\frac{257}{4}}{|\frac{-4}{2}\left(-\frac{1}{2}\right)^{2}|}$$

Iddividi -4 b'2 biex tikseb-2.

$$\frac{-\frac{257}{4}}{|-2\left(-\frac{1}{2}\right)^{2}|}$$

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

$$\frac{-\frac{257}{4}}{|-2\times \frac{1}{4}|}$$

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

$$\frac{-\frac{257}{4}}{|\frac{-2}{4}|}$$

Naqqas il-frazzjoni \frac{-2}{4} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{-\frac{257}{4}}{|-\frac{1}{2}|}$$

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}.

$$\frac{-\frac{257}{4}}{\frac{1}{2}}$$

Iddividi -\frac{257}{4} b'\frac{1}{2} billi timmultiplika -\frac{257}{4} bir-reċiproku ta' \frac{1}{2}.

$$-\frac{257}{4}\times 2$$

Esprimi -\frac{257}{4}\times 2 bħala frazzjoni waħda.

$$\frac{-257\times 2}{4}$$

Immultiplika -257 u 2 biex tikseb -514.

$$\frac{-514}{4}$$

Naqqas il-frazzjoni \frac{-514}{4} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$-\frac{257}{2}$$

Fattur

$$-128.5$$