Question

complete the table to show the total number of cells after 5 hours. 1 2 2^1 2 2 2·2 2^2 4 3 2·2·2 2^3 8 4 2·2·2·2 2^4 16 5 2·2·2·2·2 2^5 1

Explanation:

Step1: Analyze the pattern

We observe that for hour \(n\), the number of cells is \(2^n\).

Step2: Calculate for \(n = 5\)

When \(n=5\), the expression is \(2\times2\times2\times2\times2\), the power is \(2^5\). Using the formula \(a^n=\underbrace{a\times a\times\cdots\times a}_{n\text{ times}}\), we have \(2^5=2\times2\times2\times2\times2 = 32\).

Answer:

The number of cells after 5 hours is \(32\).