8th Class Mathematics Exponents and Power Question Bank Exponents and Powers

  • question_answer
    The cell of bacteria doubles itself after every 1 hour. How many cells will there be after 8 hours?

    A)  200 times of the original

    B)  \[{{\text{2}}^{\text{10}}}\] times of the original

    C)  \[{{\text{2}}^{\text{8}}}\] times of the original

    D)  \[{{\text{2}}^{\text{6}}}\] times of the original

    Correct Answer: C

    Solution :

    Let no. of cells al present be x No. of cells after \[\text{1 hour = }2x\] No. of cells after 2\[~\text{hours}=2(2x)=4x={{2}^{2}}x\] No. of cells after 3 \[\text{hours}=2(4x)=8x={{2}^{3}}x\] \[\therefore \] No. of cells after 8 hours \[={{2}^{8}}x\]


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