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Mathematics, 29.09.2021 02:20 hshshd28

There are two numbers whose $400^{\text{th}}$ powers are equal to $9^{1000}$. In other words, there are two numbers that can replace $\blacksquare$ in the equation $$\blacksquare^{400} = 9^{1000},$$making the equation true.

Find the smaller of the two numbers.

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