Microbiology: exponential question

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HDr

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"A test tube was inoculated at 30 degrees celsius at 7am. The tube started with 200 bacteria and has a generation time of 20 mins. Calculate the amount of bacteria at 1pm."

For the above question could I use this formula? ( s(v)^t/d) (200(2)^300/20) s= starting amount, v= binary fision of each cell, t= minutes, d= minutes each division occurs.

When I completed the above equation I got 6,553,600. However, I get 52,428,800 if I do it manually (multiplying the bacteria by 2, 3 times per hour until I reached 1pm)

Which answer is correct? Is there a better way to do this kind of problem?

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