Issolvi -8314*450*(-204-1176/450+21*10^7(1/450)^3)

$$- 8314 \times 450 \times ( - 204 - \frac { 1176 } { 450 } + 21 \times 10 ^ { 7 } ( \frac { 1 } { 450 } ) ^ { 3 } )$$

Evalwa

$$\frac{20638274528}{27}\approx 764380538.074074074$$

Passi tas-Soluzzjonijiet

Immultiplika -8314 u 450 biex tikseb -3741300.

$$-3741300\left(-204-\frac{1176}{450}+21\times 10^{7}\times \left(\frac{1}{450}\right)^{3}\right)$$

Naqqas il-frazzjoni \frac{1176}{450} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 6.

$$-3741300\left(-204-\frac{196}{75}+21\times 10^{7}\times \left(\frac{1}{450}\right)^{3}\right)$$

Ikkonverti -204 fi frazzjoni -\frac{15300}{75}.

$$-3741300\left(-\frac{15300}{75}-\frac{196}{75}+21\times 10^{7}\times \left(\frac{1}{450}\right)^{3}\right)$$

Billi -\frac{15300}{75} u \frac{196}{75} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$-3741300\left(\frac{-15300-196}{75}+21\times 10^{7}\times \left(\frac{1}{450}\right)^{3}\right)$$

Naqqas 196 minn -15300 biex tikseb -15496.

$$-3741300\left(-\frac{15496}{75}+21\times 10^{7}\times \left(\frac{1}{450}\right)^{3}\right)$$

Ikkalkula 10 bil-power ta' 7 u tikseb 10000000.

$$-3741300\left(-\frac{15496}{75}+21\times 10000000\times \left(\frac{1}{450}\right)^{3}\right)$$

Immultiplika 21 u 10000000 biex tikseb 210000000.

$$-3741300\left(-\frac{15496}{75}[phone]\times \left(\frac{1}{450}\right)^{3}\right)$$

Ikkalkula \frac{1}{450} bil-power ta' 3 u tikseb \frac{1}{91125000}.

$$-3741300\left(-\frac{15496}{75}[phone]\times \frac{1}{91125000}\right)$$

Immultiplika 210000000 u \frac{1}{91125000} biex tikseb \frac{210000000}{91125000}.

$$-3741300\left(-\frac{15496}{75}+\frac{210000000}{91125000}\right)$$

Naqqas il-frazzjoni \frac{210000000}{91125000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 375000.

$$-3741300\left(-\frac{15496}{75}+\frac{560}{243}\right)$$

L-inqas multipli komuni ta' 75 u 243 huwa 6075. Ikkonverti -\frac{15496}{75} u \frac{560}{243} fi frazzjonijiet bid-denominatur 6075.

$$-3741300\left(-\frac{1255176}{6075}+\frac{14000}{6075}\right)$$

Billi -\frac{1255176}{6075} u \frac{14000}{6075} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$-3741300\times \frac{-1255176+14000}{6075}$$

Żid -1255176 u 14000 biex tikseb -1241176.

$$-3741300\left(-\frac{1241176}{6075}\right)$$

Esprimi -3741300\left(-\frac{1241176}{6075}\right) bħala frazzjoni waħda.

$$\frac{-3741300\left(-1241176\right)}{6075}$$

Immultiplika -3741300 u -1241176 biex tikseb 4643611768800.

$$\frac{4643611768800}{6075}$$

Naqqas il-frazzjoni \frac{4643611768800}{6075} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 225.

$$\frac{20638274528}{27}$$

Fattur

$$\frac{2 ^ {5} \cdot 47 \cdot 3301 \cdot 4157}{3 ^ {3}} = 764380538\frac{2}{27} = 764380538.074074$$