Answer
$\frac{1}{3}$
Work Step by Step
We start with the given expression: $\frac{3^{1/3}}{3^{4/3}}$
To divide powers with the same base, we subtract the exponents: $3^{(1/3)-(4/3)}=3^{-3/3}=3^{-1}$
The negative exponent rule states that for every nonzero number $a$ and integer $n$, $a^{-n}=\frac{1}{a^n}$ We use this rule to rewrite the expression: $\frac{1}{3^1}=\frac{1}{3}$
