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: \(10 \cdot {\left( 1 + 0.8 \right)}^{168}\)

MathBot Answer:

\[10 \cdot {\left( 1 + 0.8 \right)}^{168} = \frac{41093353249131229724902996832311770159306403244092204716318541999932748097722534779104383865066440218128508984831297408540099023542338592716491495008302906970242}{534552942018439129228107293430296375763039376021009739592387498432079728197426071734099650711868889629840850830078125} \approx 76874243912988763621991919615780640417915773.09954357013414881233333624603818\]

\[\begin{aligned}10 \cdot {\left( 1 + 0.8 \right)}^{168}& = 10 \cdot \left(1 + \frac{8}{10}\right)^{168}\\& = 10 \cdot \left(1 + \frac{4}{5}\right)^{168}\\& = 10 \cdot \left(\frac{9}{5}\right)^{168}\\& = 10 \cdot \frac{20546676624565614862451498416155885079653201622046102358159270999966374048861267389552191932533220109064254492415648704270049511771169296358245747504151453485121}{2672764710092195646140536467151481878815196880105048697961937492160398640987130358670498253559344448149204254150390625}\\& = \frac{41093353249131229724902996832311770159306403244092204716318541999932748097722534779104383865066440218128508984831297408540099023542338592716491495008302906970242}{534552942018439129228107293430296375763039376021009739592387498432079728197426071734099650711868889629840850830078125}\end{aligned}\]

+ Submit Question