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?
Topics: Starter  Indices  Logarithms
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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 such as tablets, iPads or Laptops? This page was really designed for projection on a whiteboard but if you really want the students to have access to it here is a concise URL for a version of this page without the comments: Transum.org/go/?Start=August1 However it would be better to assign one of the student interactive activities below. 

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