The problem is to evaluate $27^{-1/3}$.

1. Problem Description

The problem is to evaluate $27^{-1/3}$.

2. Solution Steps

We are asked to evaluate $27^{-1/3}$.

First, we can rewrite 27 as $3^3$. So, the expression becomes $(3^3)^{-1/3}$.

Using the power of a power rule, we have $3^{3 \cdot (-1/3)} = 3^{-1}$.

A number raised to a negative exponent is the reciprocal of that number raised to the positive exponent, so $3^{-1} = \frac{1}{3^1} = \frac{1}{3}$.

$x^{-n} = \frac{1}{x^n}$

3. Final Answer

$\frac{1}{3}$