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
2 months ago

To simplify the expression \( 16^{14} \), we can express \( 16 \) in terms of its prime factors. Since \( 16 = 2^4 \), we can write:

\[
16^{14} = (2^4)^{14}
\]

Using the power of a power property, we can multiply the exponents:

\[
(2^4)^{14} = 2^{4 \times 14} = 2^{56}
\]

This means the prime factorization of \( 16^{14} \) is \( 2^{56} \).

The most relevant choice for simplifying the expression is:

\( 16 = 2 \cdot 2 \cdot 2 \cdot 2 \) (which is \( 16 = 2^4 \)).

Thus, the answer is:

**16=2⋅2⋅2⋅2** (16 equals 2 times 2 times 2 times 2)