8 = 2 × 2 × 2
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Because 2 is a prime number. 2 x 2 is the prime factorization of 4. 2 x 2 x 2 is the prime factorization of 8. 2 x 2 x 2 x 2 is the prime factorization of 16, and so on.
2 to the 3rd power x 5 to the 2nd power = 200
It's not. It's the prime factorization of the composite number 8.
Prime factorization of 22*32 = 2 x 2 x 3 x 3 = 36