Which factors of the base would help simplify the expression 1614 ?(1 point) Responses 16=8⋅8 16 equals 8 times 8 16=4⋅4 16 equals 4 times 4 16=2⋅2⋅2⋅2 16 equals 2 times 2 times 2 times 2 16=4⋅2⋅2

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To simplify the expression of 16 using its factors, we can express 16 as products of its factors. The options provided suggest different ways to factor 16. Here's a breakdown of each response:

1. **16 = 8 ⋅ 8**: This is correct, as 8 times 8 equals 16.

2. **16 = 4 ⋅ 4**: This is also correct, since 4 times 4 equals 16.

3. **16 = 2 ⋅ 2 ⋅ 2 ⋅ 2**: This is correct as well, since multiplying four 2's gives 16 (2^4 = 16).

4. **16 = 4 ⋅ 2 ⋅ 2**: This is another correct expression, since 4 times 2 times 2 equals 16 (4 * 2^2 = 16).

Any of these factorizations can be used to simplify expressions involving 16. The choice of which factorization to use may depend on the context or what you are trying to simplify.

If you're looking for the most straightforward way to apply it in simplification, the response **16 = 2 ⋅ 2 ⋅ 2 ⋅ 2** (4 times 2) is often the most useful, particularly when dealing with powers or logarithms.