(a) Express (504 x 147) as a product of prime factors only in the exponential
form.
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Step-by-step explanation:
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147
Factor pairs:147 = 1 x 147, 3 x 49, or 7 x 21. Factors of 147: 1, 3, 7, 21, 49, 147. Prime factorization: 147 = 3 x 7 x 7, which can also be written 147 = 3 x (7^2).
504
504 is a composite number.
Prime factorization: 504 = 2 x 2 x 2 x 3 x 3 x 7, which can be written 504 = (2^3) x (3^2) x 7.
The exponents in the prime factorization are 3, 2 and 1. ...
Factors of 504: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504.
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