Understood more generally, and perhaps apparent if you've watched the 3b1b video -- we use an algebraic expression (exponentiation of ordinary numbers) to imply an algebraic (or higher level, e.g. transcendental) equation, which may have zero, one or many solutions.

Of note, taking the 10th root implies there are 10 possible, equivalent, solutions: using the 10 roots of unity. Remember that sqrt(4) = +/- 2, not just +2! If we constrain our answer to the real domain, only two of those remain; but in the complex domain, all ten are equally valid.

When working with general analytical functions, we often must be mindful of this, not just to finite numbers of answers, but whole spaces of them -- for example there are infinite "branches" of the ln(z) function, because e^(i x) is periodic. (When this fact isn't interesting, we usually choose the "main branch" (x ∈ (-pi, pi]), denoted Ln(z).)

Similar answers pop up for expressions like x^x, or i^i. While you can easily solve these for a superficial curve or value, the functions they are equivalent to lie in much more interesting spaces, and there are many equivalent answers, not just one! (I think one of the follow-up videos in the 3b1b series covers exactly this, if you're interested.)

Tim