Express 48 as a product of prime numbers using exponents.(1 point) Responses 24 × 3 2 Superscript 4 Baseline times 3 2 × 3 × 23 2 times 3 times 2 cubed 3 × 42 3 times 4 squared 22 × 3 × 4
To express 48 as a product of its prime factors using exponents, we first need to break it down into its prime factors. The prime factorization is done by dividing the number by the smallest prime number possible and continuing the process with the resulting quotient until we are left with only prime numbers.
Let's factor 48 step by step:
48 ÷ 2 = 24
24 ÷ 2 = 12
12 ÷ 2 = 6
6 ÷ 2 = 3
3 ÷ 3 = 1
So we have factored 48 into 2 four times and 3 one time.
Now we write it as a product of prime numbers using exponents. Since 2 appears four times, we use 2 to the power of 4, which is written as 2^4. And since 3 appears once, it is just 3.
Therefore, 48 expressed as a product of prime numbers using exponents is:
2^4 × 3
None of the given options matches the correct prime factorization. The right one is:
2^4 × 3