Find the prime factorization of each of the following numbers. a. 33^3 • 39^14 • 49^13 b. 2500^47 • 900^25 c. 2 • 3^2 • 5^107 • 7 + 4 • 3^2 • 5^107 d. 2 • 3 • 5 • 7 • 11 • 13 • 17 • 19 + 1
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a. 33^3 • 39^14 • 49^13 = (3 • 11)^3 • (3 • 13)^14 • (7^2)^13 = 3^3 • 11^3 • 3^14 • 13^14 • 7^26 = 3^17 • 7^26 • 11^3 • 13^14 b. 2500^47 • 900^25 = (2^2 • 5^4)^47 • (2^2 • 3^2 • 5^2)^25 = 2^94 • 5^188 • 2^50 • 3^50 • 5^50 = 2^144 • 3^50 • 5^238 c. 2 • 3^2 • 5^107 Show more…
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