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

Oct 26, 2015

$\sqrt[3]{125}$

#### Explanation:

Basically, a square root ($\sqrt{}$) is a number, say $x$ raised to the power of $\frac{1}{2}$.

So if I have $\sqrt{x}$, it is the same as saying if have ${x}^{\frac{1}{2}}$.

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 ${\left(125\right)}^{\frac{2}{3}}$, then I would have $\sqrt[3]{{125}^{2}}$.

Now for your question. ${\left(125\right)}^{\frac{1}{3}}$ is the same as $\sqrt[3]{{125}^{1}}$,
which evaluates to $5$, because $5 \times 5 \times 5 = 125$.