express in words without using the symbol N

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Express

$$\forall\ n\in\mathbb N\ \exists\ m \in\mathbb N: \ n^4 = m^2$$

in words without using the symbol $\mathbb N$.

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In words, and clearer, every perfect fourth power is a perfect square.

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For every n belongs to natural numbers there exists a m belongs natural numbers such that fourth power of n is equal to square of m.

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To avoid usage of the term "perfect power" (in case you didn't know it), you can say

Every fourth power of a natural number is also the square of a natural number.

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Assuming $n\in \mathbb{N}$, this can be spoken as:

"For all natural numbers there exists a natural number such that the fourth power of the first is the square of the second." i.e. "For all natural numbers every fourth power is a perfect square."