Express the prime factorization of 84 with exponents.(1 point)

Question

Responses

2 ⋅ 32 ⋅7
2 times 3 squared times 7

22 ⋅ 3 ⋅ 7
2 squared times 3 times 7

2 ⋅ 3 ⋅ 7
2 times 3 times 7

3 ⋅4⋅7

Answer 1

The prime factorization of 84 can be expressed with exponents as follows:

1. First, we can divide 84 by 2, which gives us 42.
2. Then, we divide 42 by 2 again to get 21.
3. 21 can be divided by 3 to get 7.
4. Finally, 7 is already a prime number.

So, the prime factorization of 84 is:

\[ 2^2 \cdot 3^1 \cdot 7^1 \]

This matches the choice:

2² ⋅ 3 ⋅ 7 (2 squared times 3 times 7).