Question

simplify basic cube roots
this is the only question in this section.
question
rewrite $sqrt3{c^{9}}$ in simplest form.
answer attempt 3 out of 5
submit answer

Explanation:

Step1: Recall the cube - root rule

The cube - root of a number $a$ is written as $\sqrt[3]{a}$, and for a power $a^n$, $\sqrt[3]{a^n}=a^{\frac{n}{3}}$. Here, $a = c$ and $n = 9$.

Step2: Calculate the exponent

Using the rule $\sqrt[3]{c^9}=c^{\frac{9}{3}}$.

Step3: Simplify the exponent

Since $\frac{9}{3}=3$, then $c^{\frac{9}{3}}=c^3$.

Answer:

$c^3$