The cells of a bacteria double itself every hour. How many cells will there be after 8 hours, if initially we start with 1 cell. Express the answer in powers.

Solution:

Given, the cells of a bacteria doubles itself every hour.

Initially we start with 1 cell.

We have to find the number of cells after 8 hours.

Number of cell at the beginning = 1

Cells after 1 hour = 1 + 1 = 2¹

Cells after 2 hours = 2 + 2 = 4 = 2²

Cells after 3 hours = 4 + 4 = 8 = 2³

Cells after 4 hours = 8 + 8 = 16 = 2⁴

Cells after 5 hours = 16 + 16 = 32 = 2⁵

Cells after 6 hours = 32 + 32 = 64 = 2⁶

Cells after 7 hours = 64 + 64 = 128 = 2⁷

Cells after 8 hours = 128 + 128 = 256 = 2⁸

Therefore, cells after 8 hours will be 2⁸.

✦ Try This: The cells of a bacteria double itself every 2 hours. How many cells will there be after 16 hours, if initially we start with 2 cells. Express the answer in powers.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12

NCERT Exemplar Class 8 Maths Chapter 8 Problem 126

The cells of a bacteria double itself every hour. How many cells will there be after 8 hours, if initially we start with 1 cell. Express the answer in powers.

Summary:

The cells of a bacteria double itself every hour. 2⁸ cells will there be after 8 hours, if initially we start with 1 cell.

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