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

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

Arvuta

$$-\frac{261}{2}=-130,5$$

Lahenduse etapid

Arvutage 3 aste -1 ja leidke -1.

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

Jagage -1 väärtusega \frac{2}{9}, korrutades -1 väärtuse \frac{2}{9} pöördväärtusega.

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

Arvutage 200 aste 2 ja leidke 1606938044258990275541962092341162602522202993782792835301376.

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

Korrutage 0 ja 5, et leida 0.

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

Arvutage 200 aste 0 ja leidke 0.

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

Korrutage 1606938044258990275541962092341162602522202993782792835301376 ja 0, et leida 0.

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

Liitke -\frac{9}{2} ja 0, et leida -\frac{9}{2}.

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

Arvutage 3 aste 3 ja leidke 27.

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

Arvutage 2 aste -\frac{3}{2} ja leidke \frac{9}{4}.

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

Korrutage 27 ja \frac{9}{4}, et leida \frac{243}{4}.

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

Lahutage \frac{243}{4} väärtusest -\frac{9}{2}, et leida -\frac{261}{4}.

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

Jagage -4 väärtusega 2, et leida -2.

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

Arvutage 2 aste -\frac{1}{2} ja leidke \frac{1}{4}.

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

Korrutage -2 ja \frac{1}{4}, et leida -\frac{1}{2}.

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

Reaalarvu a absoluutväärtus on a, kui a\geq 0, või -a, kui a<0. -\frac{1}{2} absoluutväärtus on \frac{1}{2}.

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

Jagage -\frac{261}{4} väärtusega \frac{1}{2}, korrutades -\frac{261}{4} väärtuse \frac{1}{2} pöördväärtusega.

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

Korrutage -\frac{261}{4} ja 2, et leida -\frac{261}{2}.

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

Lahuta teguriteks

$$-\frac{261}{2} = -130\frac{1}{2} = -130,5$$