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How to tell the greater power? (math question)

Asked by PhiNotPi (12681points) December 20th, 2011

You have two numbers: the first is 45362^15272, and the second number is 26453^37589. How can I figure out which one is the largest without actually calculating the full value of each number? I am not interested in which is the largest out of my example, I want to find the strategy to figure out which is the largest.

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