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

1 answer

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.