Answer
$36$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the laws of exponents to simplify the given expression, $
6^{4/3}\cdot6^{2/3}
.$
$\bf{\text{Solution Details:}}$
Using the Product Rule of the laws of exponents which is given by $x^m\cdot x^n=x^{m+n},$ the expression above is equivalent to
\begin{array}{l}\require{cancel}
6^{\frac{4}{3}+\frac{2}{3}}
\\\\=
6^{\frac{6}{3}}
\\\\=
6^{2}
\\\\=
36
.\end{array}
