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day 1: 2 day 2: $2\\cdot2 = 2^2 = 4$ day 3: $2\\cdot2\\cdot2 = 2^3 = 8$…

Question

day 1: 2
day 2: $2\cdot2 = 2^2 = 4$
day 3: $2\cdot2\cdot2 = 2^3 = 8$
day 4: $2\cdot2\cdot2\cdot2 = 2^4 = \square$

Explanation:

Step1: Understand the pattern

The pattern shows that each day the number is multiplied by 2, and it can be represented as a power of 2. For Day 4, we have \(2^4\).

Step2: Calculate \(2^4\)

We know that \(2^4 = 2\times2\times2\times2\). Calculating this, \(2\times2 = 4\), \(4\times2 = 8\), \(8\times2 = 16\). So \(2^4 = 16\).

Answer:

16