Calculate (1/3)³: Solving the Cube of One-Third

To solve the expression $\left(\frac{1}{3}\right)^3$, we will apply the power of a fraction rule.

Step 1: Begin with the expression $\left(\frac{1}{3}\right)^3$.
This means we need to calculate $\frac{1^3}{3^3}$.

Step 2: Evaluate $1^3$ and $3^3$:
- $1^3 = 1 \times 1 \times 1 = 1$
- $3^3 = 3 \times 3 \times 3 = 27$

Step 3: Construct the fraction with these powers:
$\frac{1^3}{3^3} = \frac{1}{27}$.

Therefore, the value of $\left(\frac{1}{3}\right)^3$ is $\frac{1}{27}$.