###### tags: `OTM 02` `Power`
#
Compare two numbers
$2022^{2023}$ and $2023^{2022}$, which one is larger?
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Hint:
- You might try to compare them with a third number that make the comparison easier?
- Try to use the exponential rules!
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Rules of Exponential:
- $c^a \times b^a = (cb)^a$
- $c^a \div b^a = (\frac{c}{b})^a$
- $c^{a+1} \div c^a = \frac{c^a \times c}{c^a} = c$
- $(1 + \frac{1}{2022})^{2022} \approx 2.718$
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