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Math Help - Exponent problem

  1. #1
    rayrawls11
    Guest

    Exponent problem

    Determine how many times cells type b divide in a 24 hour period. I f you begin with one type b cell, how many cells will be produced in 24 hours?

    (type b cell divides once every six hours)

    I need help figuring this one out.

    I had a problem before this one that was the same and it's answer was 2 to the 8th power.

    (type a cell divided once every 3 hours)

    I can't figure out how they got 2 to the 8th power.

    Please help
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  2. #2
    Senior Member
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    I assume that each cell divides into 2 when it divides. However many cells we have at any time, six hours later we have twice that number. So
    initially: 1 cell
    after six hours: 2 cells
    after 12 hours: 2x2 = 4 cells
    after 18 hours: 2x4 = 8 cells
    after 24 hours: 2x8 = 16 cells
    ...
    after 6n hours: 2x2x...x2 (n times) = 2^n cells
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