Answer
$\frac{1}{b}$
Work Step by Step
Step 1: $\frac{b^{\frac{1}{3}}}{b^{\frac{4}{3}}}$
Step 2: Using Quotient rule for exponents, the expression becomes $b^{\frac{1}{3}-\frac{4}{3}}$
Step 3: Simplifying the expression, $b^{\frac{1-4}{3}}$=$b^{\frac{-3}{3}}$=$b^{-1}$=$\frac{1}{b}$