So I found this equation $$ e^{20}=10^{20*.43429\dots} = 10^{8.6858\dots} = 10^9 * 10*(-.3141\dots) $$ on this webpage and I'm really confused as to why it isn't matching up whenever I try it. The first two expressions are equal to each other but the third one doesn't equal either of them. Every time I calculate $10^9 * 10*(-.3141\dots)$ I get $-3414100000$ which is different from the other two expressions which equal $485165195.41$. I'm wondering if this is a mistake and if anyone can explain why this isn't working for me.
2026-04-11 09:22:32.1775899352
Simple equation not working?
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On that webpage, the last expression has a typo. Rather than $$ 10\wedge 9 * 10*(-.3141\dots) $$ it should be $$ 10\wedge 9 * 10\color{red}{\wedge}(-.3141\dots) $$ This works out because $10^9 * 10^{-.3141}\approx 485176771.21$, which is about what you say the other ones are equal to.