Riješi 11-(1/1+15%)^48/15%

$$1 \frac { 1 - ( \frac { 1 } { 1 + 15 \% } ) ^ { 48 } } { 15 \% }$$

Procijeni

$$\frac{1535728808950087889079913207222960190183200502289339641982122184540}{230640796319223839361986981083444028527480075343400946297318327681}\approx 6,658530639$$

Koraci za rješenje

Svedite razlomak \frac{15}{100} na najprostije elemente rastavlјanjem i kraćenjem 5.

$$1\times \frac{1-\left(\frac{1}{1+\frac{3}{20}}\right)^{48}}{\frac{15}{100}}$$

Saberite 1 i \frac{3}{20} da biste dobili \frac{23}{20}.

$$1\times \frac{1-\left(\frac{1}{\frac{23}{20}}\right)^{48}}{\frac{15}{100}}$$

Podijelite 1 sa \frac{23}{20} tako što ćete pomnožiti 1 recipročnom vrijednošću od \frac{23}{20}.

$$1\times \frac{1-\left(1\times \frac{20}{23}\right)^{48}}{\frac{15}{100}}$$

Pomnožite 1 i \frac{20}{23} da biste dobili \frac{20}{23}.

$$1\times \frac{1-\left(\frac{20}{23}\right)^{48}}{\frac{15}{100}}$$

Izračunajte \frac{20}{23} stepen od 48 i dobijte \frac{281474976710656000000000000000000000000000000000000000000000000}{230640796319223839361986981083444028527480075343400946297318327681}.

$$1\times \frac{1-\frac{281474976710656000000000000000000000000000000000000000000000000}{230640796319223839361986981083444028527480075343400946297318327681}}{\frac{15}{100}}$$

Oduzmite \frac{281474976710656000000000000000000000000000000000000000000000000}{230640796319223839361986981083444028527480075343400946297318327681} od 1 da biste dobili \frac{230359321342513183361986981083444028527480075343400946297318327681}{230640796319223839361986981083444028527480075343400946297318327681}.

$$1\times \frac{\frac{230359321342513183361986981083444028527480075343400946297318327681}{230640796319223839361986981083444028527480075343400946297318327681}}{\frac{15}{100}}$$

Svedite razlomak \frac{15}{100} na najprostije elemente rastavlјanjem i kraćenjem 5.

$$1\times \frac{\frac{230359321342513183361986981083444028527480075343400946297318327681}{230640796319223839361986981083444028527480075343400946297318327681}}{\frac{3}{20}}$$

Podijelite \frac{230359321342513183361986981083444028527480075343400946297318327681}{230640796319223839361986981083444028527480075343400946297318327681} sa \frac{3}{20} tako što ćete pomnožiti \frac{230359321342513183361986981083444028527480075343400946297318327681}{230640796319223839361986981083444028527480075343400946297318327681} recipročnom vrijednošću od \frac{3}{20}.

$$1\times \frac{230359321342513183361986981083444028527480075343400946297318327681}{230640796319223839361986981083444028527480075343400946297318327681}\times \frac{20}{3}$$

Pomnožite \frac{230359321342513183361986981083444028527480075343400946297318327681}{230640796319223839361986981083444028527480075343400946297318327681} i \frac{20}{3} da biste dobili \frac{1535728808950087889079913207222960190183200502289339641982122184540}{230640796319223839361986981083444028527480075343400946297318327681}.

$$1\times \frac{1535728808950087889079913207222960190183200502289339641982122184540}{230640796319223839361986981083444028527480075343400946297318327681}$$

Pomnožite 1 i \frac{1535728808950087889079913207222960190183200502289339641982122184540}{230640796319223839361986981083444028527480075343400946297318327681} da biste dobili \frac{1535728808950087889079913207222960190183200502289339641982122184540}{230640796319223839361986981083444028527480075343400946297318327681}.

$$\frac{1535728808950087889079913207222960190183200502289339641982122184540}{230640796319223839361986981083444028527480075343400946297318327681}$$