Question

1. the number of bacteria in a sample doubles every hour. how many bacteria cells will there be after 8 hours if there is one cell at the beginning? write your answer as a power.

Explanation:

Step1: Identify the growth pattern

The number of bacteria doubles every hour. Starting with 1 cell, after 1 hour it's \(2^1\), after 2 hours it's \(2^2\), and so on.

Step2: Determine the exponent for 8 hours

For \(n\) hours, the number of bacteria is \(2^n\). Here, \(n = 8\), so the number of bacteria after 8 hours is \(2^8\).

Answer:

\(2^8\)