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1. If M = 5 × 5 × 5 ×. × 5 (a total of 2007 five times), n = 2 × 2 × 2 ×. × 2（ 1. If M = 5 × 5 × 5 ×... × 5 (a total of 2007 5 multiplications) and N = 2 × 2 × 2 ×... × 2 (a total of 4685 2 multiplications), please compare the size of M and n.
5^3=125
2^7=128
2007=669*3
4685=669*7+2
M = 5 × 5 × 5 ×. × 5
=5^2007
=5^(3*669)
=(5^3)^669
=125^669
N = 2 × 2 × 2 ×. × 2 (a total of 4685 2 multiplication)
=2^4685
=2^(7*669+2)
=(2^7)^669*2^2
=128^669*2^2
∵ 125^669＜128^669*2^2
Ψ M = 5 × 5 × 5 ×. × 5 (a total of 2007 5 multiplication) < n = 2 × 2 × 2 ×. × 2 (a total of 4685 2 multiplication)
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