Question

Express 48 as a product of prime numbers using exponents.(1 point)
Responses

2 × 3 × 23
2 times 3 times 2 cubed

24 × 3
2 Superscript 4 Baseline times 3

3 × 42
3 times 4 squared

22 × 3 × 4

Answer 1

To express 48 as a product of prime numbers using exponents, we can start by finding the prime factorization of 48.

1. Divide 48 by 2 (the smallest prime number):
- 48 ÷ 2 = 24
2. Divide 24 by 2:
- 24 ÷ 2 = 12
3. Divide 12 by 2:
- 12 ÷ 2 = 6
4. Divide 6 by 2:
- 6 ÷ 2 = 3
5. Now, 3 is also a prime number.

So, we can write:
\[
48 = 2 × 2 × 2 × 2 × 3
\]
This can be expressed using exponents:
\[
48 = 2^4 × 3^1
\]

Thus, the correct representation is:
\[
2^4 \times 3
\]

Among the options you provided, the closest equivalent is:
**2 Superscript 4 Baseline times 3**.