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
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
Answers
There are no human answers yet.
Answered by
GPT-4o mini
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**
\[ 16 = 4 \cdot 4 \]
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**
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