SOLUTION: Explain how you would determine which of the following powers is greater, WITHOUT actually evaluating the powers. Show your work and/or explain your answer. 20^100 OR 400^40

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Question 1155378: Explain how you would determine which of the following powers is greater, WITHOUT actually evaluating the powers. Show your work and/or explain your answer.
20^100 OR 400^40
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

which of the following powers is greater
20%5E100 OR 400%5E40
I see that 20%5E100 is greater.
explanation:
first I noticed that 400 is 20%5E2, then 400%5E40 is same as %2820%5E2%29%5E40=20%5E80
so, comparing exponents, 100 is greater than 80