Question

Question

Which factors of the base would help simplify the expression 16^1/4 ?(1 point)
Responses

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

16=8⋅8
16 equals 8 times 8

16=4⋅2⋅2
16 equals 4 times 2 times 2

16=4⋅4

Answer 1

To simplify the expression \( 16^{1/4} \), it helps to express 16 in terms of its prime factors. The most valuable factorization in this context is:

\[ 16 = 4 \cdot 4 \]

This is because:

\[ 16^{1/4} = (4 \cdot 4)^{1/4} = 4^{1/2} = 2 \]

Thus, the correct response that would help simplify the expression \( 16^{1/4} \) is:

16 = 4 ⋅ 4