To express 48 as a product of prime numbers using exponents, we need to find the prime factorization of 48.
We start by dividing 48 by the smallest prime number, 2:
48 ÷ 2 = 24
Now, we continue dividing the quotient (24) by 2:
24 ÷ 2 = 12
Again, we divide the new quotient (12) by 2:
12 ÷ 2 = 6
Next, we divide 6 by the next prime number, 3:
6 ÷ 3 = 2
Since 2 is a prime number, we have reached the prime factorization of 48.
Therefore, 48 can be expressed as a product of prime numbers as follows:
48 = 2^4 × 3^1
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