10(1+0.8) Raised to the power of 168

asked by guest
on Nov 13, 2024 at 8:35 pm



You asked:

Evaluate the expression: 10(1+0.8)16810 {\left( 1 + 0.8 \right)}^{168}

MathBot Answer:

10(1+0.8)168=41093353249131229724902996832311770159306403244092204716318541999932748097722534779104383865066440218128508984831297408540099023542338592716491495008302906970242534552942018439129228107293430296375763039376021009739592387498432079728197426071734099650711868889629840850830078125≈76874243912988763621991919615780640417915773.0995435701341488123333362460381810 {\left( 1 + 0.8 \right)}^{168} = \frac{41093353249131229724902996832311770159306403244092204716318541999932748097722534779104383865066440218128508984831297408540099023542338592716491495008302906970242}{534552942018439129228107293430296375763039376021009739592387498432079728197426071734099650711868889629840850830078125} \approx 76874243912988763621991919615780640417915773.09954357013414881233333624603818

10(1+0.8)168=10(1+45)168=10(95)168=10⋅205466766245656148624514984161558850796532016220461023581592709999663740488612673895521919325332201090642544924156487042700495117711692963582457475041514534851212672764710092195646140536467151481878815196880105048697961937492160398640987130358670498253559344448149204254150390625=41093353249131229724902996832311770159306403244092204716318541999932748097722534779104383865066440218128508984831297408540099023542338592716491495008302906970242534552942018439129228107293430296375763039376021009739592387498432079728197426071734099650711868889629840850830078125\begin{aligned}10 {\left( 1 + 0.8 \right)}^{168}&=10 {\left( 1 + \frac{4}{5} \right)}^{168}\\&=10 {\left( \frac{9}{5} \right)}^{168}\\&=10 \cdot \frac{20546676624565614862451498416155885079653201622046102358159270999966374048861267389552191932533220109064254492415648704270049511771169296358245747504151453485121}{2672764710092195646140536467151481878815196880105048697961937492160398640987130358670498253559344448149204254150390625}\\&=\frac{41093353249131229724902996832311770159306403244092204716318541999932748097722534779104383865066440218128508984831297408540099023542338592716491495008302906970242}{534552942018439129228107293430296375763039376021009739592387498432079728197426071734099650711868889629840850830078125}\end{aligned}

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