How do you write (125)^(1/3) in radical form?

1 Answer
Oct 26, 2015

root(3)(125)

Explanation:

Basically, a square root (sqrt()) is a number, say x raised to the power of 1/2.

So if I have sqrtx, it is the same as saying if have x^(1/2).

When the exponent is in fractions, the numerator just tells me how many times the power is, the denominator tells me the root. If the question here were (125)^(2/3), then I would have root(3)(125^2).

Now for your question. (125)^(1/3) is the same as root(3)(125^1),
which evaluates to 5, because 5xx5xx5=125.