Math Arguments

Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.

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Item 504

Holy Moley Exponents

In the comments on 'More Exponents', Liz, on January 29th, said:

Wow, answer on Wolframalpha was pretty surprising! Is it true for all numbers \(a\) and \(b\), when \(a < b\), then \(a^b > b^a\)?

Well? What do you say, Internet?


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In the comments on Day 7b, More Exponents, Liz, on January 29th, said:
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