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

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

Enrhifo

$$-128.5$$

Camau Ateb

Cyfrifo -1 i bŵer 3 a chael -1.

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

Rhannwch -1 â \frac{2}{9} drwy luosi -1 â chilydd \frac{2}{9}.

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

Cyfrifo 2 i bŵer 200 a chael 1606938044258990275541962092341162602522202993782792835301376.

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

Cyfrifo -0.5 i bŵer 200 a chael 0.00000000000000000000000000000000000000000000000000000000000062230152778611417071440640537801242405902521687211671331011166147896988340353834411839448231257136169569665895551224821247160434722900390625.

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

Lluosi 1606938044258990275541962092341162602522202993782792835301376 a 0.00000000000000000000000000000000000000000000000000000000000062230152778611417071440640537801242405902521687211671331011166147896988340353834411839448231257136169569665895551224821247160434722900390625 i gael 1.

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

Troswch y rhif degol 1 i’r ffracsiwn \frac{2}{2}.

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

Gan fod gan -\frac{9}{2} a \frac{2}{2} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

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

Adio -9 a 2 i gael -7.

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

Cyfrifo 3 i bŵer 3 a chael 27.

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

Cyfrifo -\frac{3}{2} i bŵer 2 a chael \frac{9}{4}.

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

Mynegwch 27\times \frac{9}{4} fel ffracsiwn unigol.

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

Lluosi 27 a 9 i gael 243.

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

Lluosrif lleiaf cyffredin 2 a 4 yw 4. Troswch -\frac{7}{2} a \frac{243}{4} yn ffracsiynau gyda’r enwadur 4.

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

Gan fod gan -\frac{14}{4} a \frac{243}{4} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

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

Tynnu 243 o -14 i gael -257.

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

Rhannu -4 â 2 i gael -2.

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

Cyfrifo -\frac{1}{2} i bŵer 2 a chael \frac{1}{4}.

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

Lluosi -2 a \frac{1}{4} i gael \frac{-2}{4}.

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

Lleihau'r ffracsiwn \frac{-2}{4} i'r graddau lleiaf posib drwy dynnu a chanslo allan 2.

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

Gwerth absoliwt rhif real a yw a pan a\geq 0, neu -a pan a<0. Gwerth absoliwt -\frac{1}{2} yw \frac{1}{2}.

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

Rhannwch -\frac{257}{4} â \frac{1}{2} drwy luosi -\frac{257}{4} â chilydd \frac{1}{2}.

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

Mynegwch -\frac{257}{4}\times 2 fel ffracsiwn unigol.

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

Lluosi -257 a 2 i gael -514.

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

Lleihau'r ffracsiwn \frac{-514}{4} i'r graddau lleiaf posib drwy dynnu a chanslo allan 2.

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

Ffactor

$$-128.5$$