Rational Exponents Quick Check

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

16=4⋅4
16 equals 4 times 4

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

To simplify the expression involving the base 16, it's helpful to express 16 in terms of its prime factors, as this can aid in simplification.

The correct factorization of 16 is:

- \( 16 = 2 \cdot 2 \cdot 2 \cdot 2 \) (or \( 16 = 2^4 \))

Among the provided responses, the one that correctly factors 16 and is beneficial for simplification is:

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

This factorization shows that 16 is \( 2^4 \), which is important for simplifying expressions with rational exponents.