Question

calculate the value of \\(\left(\dfrac{375}{3}\
ight)^{\frac{1}{3}}\\)

Explanation:

Step1: Simplify the fraction inside the parentheses

First, we simplify $\frac{375}{3}$.
$\frac{375}{3} = 125$

Step2: Apply the exponent rule

Now we have $(125)^{\frac{1}{3}}$. Recall that $a^{\frac{1}{n}}$ is the $n$-th root of $a$. So we need to find the cube root of 125.
We know that $5\times5\times5 = 125$, so $\sqrt[3]{125}=5$.

Answer:

$5$