(1+1/200)^200

asked by guest
on Oct 22, 2024 at 6:16 am



You asked:

Evaluate the expression: \({\left( 1 + \frac{1}{200} \right)}^{200}\)

MathBot Answer:

\[{\left( 1 + \frac{1}{200} \right)}^{200} = \frac{43572400224948936557274414865973384402616782402101792380787284934778399451708758118965450721676146741583111341060718826150657660447157337138836436198869188927503324993461424300453007886413438463726496821530481425687668720520409433442517521983388291156457096858117893115208682299549265939852649159959744812460523888097348822954912968048203885754942745346946271264458957246563098412852077862088702222318358304953635796361720895582090370317001806474719227996040001}{16069380442589902755419620923411626025222029937827928353013760000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} \approx 2.7115171229293747985489939701629\]

\[\begin{aligned}{\left( 1 + \frac{1}{200} \right)}^{200}& = \left(1 + \frac{1}{200}\right)^{200}\\& = \left(\frac{201}{200}\right)^{200}\\& = \frac{43572400224948936557274414865973384402616782402101792380787284934778399451708758118965450721676146741583111341060718826150657660447157337138836436198869188927503324993461424300453007886413438463726496821530481425687668720520409433442517521983388291156457096858117893115208682299549265939852649159959744812460523888097348822954912968048203885754942745346946271264458957246563098412852077862088702222318358304953635796361720895582090370317001806474719227996040001}{16069380442589902755419620923411626025222029937827928353013760000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\end{aligned}\]

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