To express 48 as a product of prime numbers using exponents, we first need to factor 48 into its prime components.
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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.
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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.