Which factors of the base would help simplify the expression 1614?(1 point)

Responses

16=2⋅2⋅2⋅2
16 equals 2 times 2 times 2 times 2

16=4⋅4
16 equals 4 times 4

16=8⋅8
16 equals 8 times 8

16=4⋅2⋅2

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 months ago

To simplify the expression related to the base 16, we look for the factorization of 16 that allows us to express it in a way that helps simplify the problem at hand.

Here are the options you've listed:

1. **16 = 2⋅2⋅2⋅2**: This is factorization into prime factors (2 raised to the 4th power).
2. **16 = 4⋅4**: This shows 16 as the product of two identical factors, which can be useful in certain contexts.
3. **16 = 8⋅8**: This is incorrect since 8 times 8 equals 64.
4. **16 = 4⋅2⋅2**: This is also a valid factorization, but not as straightforward as others.

Among these, **16 = 2⋅2⋅2⋅2** clearly shows that 16 can be broken down into its prime factors, which generally aids in simplification regarding exponentiation and other arithmetic operations.

Therefore, the best factorization to help simplify the expression involving the base would be:

**16 = 2⋅2⋅2⋅2** (which simplifies as \(16 = 2^4\)).