Lutasin ang frac{2^{98}+4^{50}-8^34}{2^99-32^20+2^101}

$$\frac { 2 ^ { 98 } + 4 ^ { 50 } - 8 ^ { 34 } } { 2 ^ { 99 } - 32 ^ { 20 } + 2 ^ { 101 } }$$

I-evaluate

$$-\frac{11}{6}\approx -1.833333333$$

Mga Hakbang ng Solution

Kalkulahin ang 2 sa power ng 98 at kunin ang 316912650057057350374175801344.

$$\frac{316912650057057350374175801344+4^{50}-8^{34}}{2^{99}-32^{20}+2^{101}}$$

Kalkulahin ang 4 sa power ng 50 at kunin ang 1267650600228229401496703205376.

$$\frac{316912650057057350374175801344+1267650600228229401496703205376-8^{34}}{2^{99}-32^{20}+2^{101}}$$

Idagdag ang 316912650057057350374175801344 at 1267650600228229401496703205376 para makuha ang 1584563250285286751870879006720.

$$\frac{1584563250285286751870879006720-8^{34}}{2^{99}-32^{20}+2^{101}}$$

Kalkulahin ang 8 sa power ng 34 at kunin ang 5070602400912917605986812821504.

$$\frac{1584563250285286751870879006720-5070602400912917605986812821504}{2^{99}-32^{20}+2^{101}}$$

I-subtract ang 5070602400912917605986812821504 mula sa 1584563250285286751870879006720 para makuha ang -3486039150627630854115933814784.

$$\frac{-3486039150627630854115933814784}{2^{99}-32^{20}+2^{101}}$$

Kalkulahin ang 2 sa power ng 99 at kunin ang 633825300114114700748351602688.

$$\frac{-3486039150627630854115933814784}{633825300114114700748351602688-32^{20}+2^{101}}$$

Kalkulahin ang 32 sa power ng 20 at kunin ang 1267650600228229401496703205376.

$$\frac{-3486039150627630854115933814784}{633825300114114700748351602688-1267650600228229401496703205376+2^{101}}$$

I-subtract ang 1267650600228229401496703205376 mula sa 633825300114114700748351602688 para makuha ang -633825300114114700748351602688.

$$\frac{-3486039150627630854115933814784}{-633825300114114700748351602688+2^{101}}$$

Kalkulahin ang 2 sa power ng 101 at kunin ang 2535301200456458802993406410752.

$$\frac{-3486039150627630854115933814784}{-633825300114114700748351602688+2535301200456458802993406410752}$$

Idagdag ang -633825300114114700748351602688 at 2535301200456458802993406410752 para makuha ang 1901475900342344102245054808064.

$$\frac{-3486039150627630854115933814784}{1901475900342344102245054808064}$$

Bawasan ang fraction \frac{-3486039150627630854115933814784}{1901475900342344102245054808064} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 316912650057057350374175801344.

$$-\frac{11}{6}$$

I-factor

$$-\frac{11}{6} = -1\frac{5}{6} = -1.8333333333333333$$