Behold, the mathematician who discovered that 2 equals 3! This brilliant piece of "logic" starts with the observation that 1n = 1m (which is true, since 1 to any power is just 1), then concludes that the exponents must be equal. Following this ironclad reasoning, since 12 = 13, clearly 2 = 3!
This is what happens when you forget that just because two expressions are equal doesn't mean you can equate their components willy-nilly. It's like saying "my two empty boxes weigh the same, therefore the boxes are identical" while ignoring that, you know, they're empty. The number 1 is special—it's the mathematical equivalent of a black hole where all exponents go to die and become indistinguishable.
Fun fact: This type of flawed reasoning is exactly why your math professor has trust issues and writes "SHOW YOUR WORK" in red ink on every exam. 🎓
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