Issolvi 40div0.0585*(1-1.0585^-16+1000div1.0585^16

$$40 \div 0.0585 \times (1- { 1.0585 }^{ -16 } +1000 \div { 1.0585 }^{ 16 }$$

Evalwa

$$\frac{5250657501678728607518642390152094386506678616881945062480000}{19042308205140588496014495597438040266017477189844653877}\approx 275736.399448743$$

Passi tas-Soluzzjonijiet

Espandi \frac{40}{0.0585} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10000.

$$\frac{400000}{585}\left(1-1.0585^{-16}+\frac{1000}{1.0585^{16}}\right)$$

Naqqas il-frazzjoni \frac{400000}{585} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 5.

$$\frac{80000}{117}\left(1-1.0585^{-16}+\frac{1000}{1.0585^{16}}\right)$$

Ikkalkula 1.0585 bil-power ta' -16 u tikseb \frac{65536000000000000000000000000000000000000000000000000}{162754770984107593983029876901179831333482711024313281}.

$$\frac{80000}{117}\left(1-\frac{65536000000000000000000000000000000000000000000000000}{162754770984107593983029876901179831333482711024313281}+\frac{1000}{1.0585^{16}}\right)$$

Naqqas \frac{65536000000000000000000000000000000000000000000000000}{162754770984107593983029876901179831333482711024313281} minn 1 biex tikseb \frac{97218770984107593983029876901179831333482711024313281}{162754770984107593983029876901179831333482711024313281}.

$$\frac{80000}{117}\left(\frac{97218770984107593983029876901179831333482711024313281}{162754770984107593983029876901179831333482711024313281}+\frac{1000}{1.0585^{16}}\right)$$

Ikkalkula 1.0585 bil-power ta' 16 u tikseb 2.4834407193619933163914470962704442036969407810106396636962890625.

$$\frac{80000}{117}\left(\frac{97218770984107593983029876901179831333482711024313281}{162754770984107593983029876901179831333482711024313281}+\frac{1000}{2.4834407193619933163914470962704442036969407810106396636962890625}\right)$$

Espandi \frac{1000}{2.4834407193619933163914470962704442036969407810106396636962890625} billi timmultiplika kemm in-numeratur kif ukoll id-denominatur b'10000000000000000000000000000000000000000000000000000000000000000.

$$\frac{80000}{117}\left(\frac{97218770984107593983029876901179831333482711024313281}{162754770984107593983029876901179831333482711024313281}+\frac{10000000000000000000000000000000000000000000000000000000000000000000}{24834407193619933163914470962704442036969407810106396636962890625}\right)$$

Naqqas il-frazzjoni \frac{10000000000000000000000000000000000000000000000000000000000000000000}{24834407193619933163914470962704442036969407810106396636962890625} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 152587890625.

$$\frac{80000}{117}\left(\frac{97218770984107593983029876901179831333482711024313281}{162754770984107593983029876901179831333482711024313281}+\frac{65536000000000000000000000000000000000000000000000000000}{162754770984107593983029876901179831333482711024313281}\right)$$

Żid \frac{97218770984107593983029876901179831333482711024313281}{162754770984107593983029876901179831333482711024313281} u \frac{65536000000000000000000000000000000000000000000000000000}{162754770984107593983029876901179831333482711024313281} biex tikseb \frac{65633218770984107593983029876901179831333482711024313281}{162754770984107593983029876901179831333482711024313281}.

$$\frac{80000}{117}\times \frac{65633218770984107593983029876901179831333482711024313281}{162754770984107593983029876901179831333482711024313281}$$

Immultiplika \frac{80000}{117} u \frac{65633218770984107593983029876901179831333482711024313281}{162754770984107593983029876901179831333482711024313281} biex tikseb \frac{5250657501678728607518642390152094386506678616881945062480000}{19042308205140588496014495597438040266017477189844653877}.

$$\frac{5250657501678728607518642390152094386506678616881945062480000}{19042308205140588496014495597438040266017477189844653877}$$