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Question
express the following as product of prime factors only in exponential form 192x 729
express the following as product of prime factors only in exponential form 192x 729
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Solution
The prime factorization of 192 = 2 × 2 × 2 × 2 × 2 × 2 × 3 = 26 × 3
The prime factorization of 729 = 3 × 3 × 3 × 3 × 3 × 3 = 36
192 × 729 = 26 × 3 × 36 = 26 × [ 3 × 36] = 26 × 37
The prime factorization of 192 = 2 × 2 × 2 × 2 × 2 × 2 × 3 = 26 × 3
The prime factorization of 729 = 3 × 3 × 3 × 3 × 3 × 3 = 36
192 × 729 = 26 × 3 × 36 = 26 × [ 3 × 36] = 26 × 37
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