2^{3} = 83^{2} = 92^{4} = 164^{2} = 164^{3} = 64 
10^{3} = 100010^{2} = 10010^{1} = 1010^{0} = 110^{1} = 0.1 
Can you spot the mitsake?
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The word mistake is spelled incorrectly (that is the mistake!)
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Teacher, do your students have
access to computers? 

Here a concise URL for a version of this page without the comments.
Here is the URL which will take them to the Indices Pairs game.
The digits of the number are the same as the digits of the power of ten in these cases:
1.3712885742 = 10^{0.13712885742}
237.5812087593 = 10^{2.375812087593}
3550.2601815865 = 10^{3.5502601815865}
Can you find any other interesting facts about indices?
You can find more mathematical trivia at Transum.org/go/?to=Trivia