Which is larger: A^ B or B^A? @MathVisualProofs

Uploaded May 2025 | Updated September 2026, 2 weeks ago

In this video, we present a standard method that demonstrates the fact that if e is less than or equal to A and A is less than B then A^B is greater than B^A .

If you like this video, consider subscribing to the channel or consider buying me a coffee: buymeacoffee.com/VisualProofs. Thanks!

If you like this video, check out the longer one with this technique and two others to prove the same result:

youtu.be/4SxslxoYwgU

#mathshorts #mathvideo #math #inequality #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #calculus #inequality #logarithm #naturallog #exponential

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