Answer
$\frac{4}{b^{\frac{5}{12}}}$
Work Step by Step
We will use the rule $\frac{a^{m}}{a^{n}}=a^{m-n}$ in the simplification of the expression:
$\frac{48b^{\frac{1}{3}}}{12b^{\frac{3}{4}}}$
$=\frac{48}{12}\times\frac{b^{\frac{1}{3}}}{b^{\frac{3}{4}}}$
$=4\times b^{\frac{1}{3}-(\frac{3}{4})}$
$=4\times b^{\frac{1(4)-3(3)}{12}}$
$=4\times b^{\frac{4-9}{12}}$
$=4\times b^{\frac{-5}{12}}$
$=\frac{4}{b^{\frac{5}{12}}}$
