Issolvi 1-(1+8%)^-25/8%

$$\frac { 1 - ( 1 + 8 \% ) ^ { - 25 } } { 8 \% }$$

Evalwa

$$\frac{6493111821791814823572418239644946025}{608266787713357709119683992618861307}\approx 10.674776189$$

Passi tas-Soluzzjonijiet

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

$$\frac{1-\left(1+\frac{2}{25}\right)^{-25}}{\frac{8}{100}}$$

Żid 1 u \frac{2}{25} biex tikseb \frac{27}{25}.

$$\frac{1-\left(\frac{27}{25}\right)^{-25}}{\frac{8}{100}}$$

Ikkalkula \frac{27}{25} bil-power ta' -25 u tikseb \frac{88817841970012523233890533447265625}{608266787713357709119683992618861307}.

$$\frac{1-\frac{88817841970012523233890533447265625}{608266787713357709119683992618861307}}{\frac{8}{100}}$$

Naqqas \frac{88817841970012523233890533447265625}{608266787713357709119683992618861307} minn 1 biex tikseb \frac{519448945743345185885793459171595682}{608266787713357709119683992618861307}.

$$\frac{\frac{519448945743345185885793459171595682}{608266787713357709119683992618861307}}{\frac{8}{100}}$$

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

$$\frac{\frac{519448945743345185885793459171595682}{608266787713357709119683992618861307}}{\frac{2}{25}}$$

Iddividi \frac{519448945743345185885793459171595682}{608266787713357709119683992618861307} b'\frac{2}{25} billi timmultiplika \frac{519448945743345185885793459171595682}{608266787713357709119683992618861307} bir-reċiproku ta' \frac{2}{25}.

$$\frac{519448945743345185885793459171595682}{608266787713357709119683992618861307}\times \frac{25}{2}$$

Immultiplika \frac{519448945743345185885793459171595682}{608266787713357709119683992618861307} u \frac{25}{2} biex tikseb \frac{6493111821791814823572418239644946025}{608266787713357709119683992618861307}.

$$\frac{6493111821791814823572418239644946025}{608266787713357709119683992618861307}$$

Fattur

$$\frac{5 ^ {2} \cdot 11 \cdot 181 \cdot 1151 \cdot 5101 \cdot 22218307154177879570243101}{3 ^ {75}} = 10\frac{4.104439446582371 \times 10^{35}}{6.082667877133578 \times 10^{35}} = 10.674776188588577$$