To simplify the expression using the factors of the base \(16\), you need to express \(16\) in a way that reveals its prime factors. Let's analyze the options given:
- \(16 = 4 \cdot 4\)
- \(16 = 2 \cdot 2 \cdot 2 \cdot 2\)
- \(16 = 4 \cdot 2 \cdot 2\)
- \(16 = 8 \cdot 8\)
The most effective way to express \(16\) in terms of prime factors is option 2: \[ 16 = 2 \cdot 2 \cdot 2 \cdot 2 \] This can also be expressed as: \[ 16 = 2^4 \]
Using \(2^4\) is particularly helpful in simplifying expressions related to powers or exponential forms, since it allows for easier manipulation in calculations involving factors of \(16\).
Hence, the best response is: 16 = 2⋅2⋅2⋅2 (16 equals 2 times 2 times 2 times 2).