Question

simplify basic cube roots
this is the only question in this section.
question
rewrite $sqrt3{c^{9}}$ in simplest form.
answer attempt 1 out of 5

Explanation:

Step1: Recall exponent - root rule

Use the rule $\sqrt[n]{a^m}=a^{\frac{m}{n}}$. Here, $n = 3$ and $m = 9$, so $\sqrt[3]{c^{9}}=c^{\frac{9}{3}}$.

Step2: Simplify the exponent

Calculate $\frac{9}{3}=3$. So $c^{\frac{9}{3}}=c^{3}$.

Answer:

$c^{3}$