A difficult problem about the power of mathematics in grade one of junior high school It is known that the 55th power of 2 = a, the 33rd power of 3 = B, and the 22nd power of 5 = C Compare the size of a, B, C

A difficult problem about the power of mathematics in grade one of junior high school It is known that the 55th power of 2 = a, the 33rd power of 3 = B, and the 22nd power of 5 = C Compare the size of a, B, C

A-B
=2^55-3^33
=(2^5)^11-(3^3)^11
=32^11-27^11>0
So a > b
B-C
=3^33-5^22
=(3^3)^11-(5^2)^11
=27^11-25^11>0
So b > C
So a > b > C