Question
Question Express 48 as a product of prime numbers using exponents.(1 point) Responses 3 × 42 3 times 4 squared 22 × 3 × 4 2 squared times 3 times 4 24 × 3 2 Superscript 4 Baseline times 3 2 × 3 × 23
Answers
GPT-4o mini
To express 48 as a product of prime numbers using exponents, we first need to factor 48 into its prime components.
1. Start by dividing 48 by the smallest prime number, which is 2:
- 48 ÷ 2 = 24
- 24 ÷ 2 = 12
- 12 ÷ 2 = 6
- 6 ÷ 2 = 3
- 3 is a prime number.
2. Now, we can express this as:
- \( 48 = 2^4 \times 3^1 \)
So, in exponent form, 48 can be expressed as:
\( 2^4 \times 3^1 \)
Therefore, the correct response from your options would be:
\( 2^4 \times 3 \) (which is \( 2^4 \times 3^1 \)) if it appears as an option.
1. Start by dividing 48 by the smallest prime number, which is 2:
- 48 ÷ 2 = 24
- 24 ÷ 2 = 12
- 12 ÷ 2 = 6
- 6 ÷ 2 = 3
- 3 is a prime number.
2. Now, we can express this as:
- \( 48 = 2^4 \times 3^1 \)
So, in exponent form, 48 can be expressed as:
\( 2^4 \times 3^1 \)
Therefore, the correct response from your options would be:
\( 2^4 \times 3 \) (which is \( 2^4 \times 3^1 \)) if it appears as an option.