Issolvi 1600*(1/0.08-1/0.08*1.08^12)

$$1600 \times ( \frac{ 1 }{ 0.08 } - \frac{ 1 }{ 0.08 \times { 1.08 }^{ 12 } } )$$

Evalwa

$$\frac{1809799810432169920000}{150094635296999121}\approx 12057.72482708$$

Passi tas-Soluzzjonijiet

Espandi \frac{1}{0.08} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'100.

$$1600\left(\frac{100}{8}-\frac{1}{0.08\times 1.08^{12}}\right)$$

Naqqas il-frazzjoni \frac{100}{8} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.

$$1600\left(\frac{25}{2}-\frac{1}{0.08\times 1.08^{12}}\right)$$

Ikkalkula 1.08 bil-power ta' 12 u tikseb 2.518170116818978404827136.

$$1600\left(\frac{25}{2}-\frac{1}{0.08\times 2.518170116818978404827136}\right)$$

Immultiplika 0.08 u 2.518170116818978404827136 biex tikseb 0.20145360934551827238617088.

$$1600\left(\frac{25}{2}-\frac{1}{0.20145360934551827238617088}\right)$$

Espandi \frac{1}{0.20145360934551827238617088} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'100000000000000000000000000.

$$1600\left(\frac{25}{2}-\frac{100000000000000000000000000}{20145360934551827238617088}\right)$$

Naqqas il-frazzjoni \frac{100000000000000000000000000}{20145360934551827238617088} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 67108864.

$$1600\left(\frac{25}{2}-\frac{1490116119384765625}{300189270593998242}\right)$$

L-inqas multipli komuni ta' 2 u 300189270593998242 huwa 300189270593998242. Ikkonverti \frac{25}{2} u \frac{1490116119384765625}{300189270593998242} fi frazzjonijiet bid-denominatur 300189270593998242.

$$1600\left(\frac{3752365882424978025}{300189270593998242}-\frac{1490116119384765625}{300189270593998242}\right)$$

Billi \frac{3752365882424978025}{300189270593998242} u \frac{1490116119384765625}{300189270593998242} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$1600\times \frac{3752365882424978025-1490116119384765625}{300189270593998242}$$

Naqqas 1490116119384765625 minn 3752365882424978025 biex tikseb 2262249763040212400.

$$1600\times \frac{2262249763040212400}{300189270593998242}$$

Naqqas il-frazzjoni \frac{2262249763040212400}{300189270593998242} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$1600\times \frac{1131124881520106200}{150094635296999121}$$

Esprimi 1600\times \frac{1131124881520106200}{150094635296999121} bħala frazzjoni waħda.

$$\frac{1600\times 1131124881520106200}{150094635296999121}$$

Immultiplika 1600 u 1131124881520106200 biex tikseb 1809799810432169920000.

$$\frac{1809799810432169920000}{150094635296999121}$$

Fattur

$$\frac{7 \cdot 13 \cdot 97 \cdot 677 \cdot 2029 \cdot 466441 \cdot 2 ^ {9} \cdot 5 ^ {4}}{3 ^ {36}} = 12057\frac{1.087926562513521 \times 10^{17}}{1.5009463529699913 \times 10^{17}} = 12057.724827080168$$