## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$\dfrac{a^{4}b^{8}}{c^{12}}$
In order to simplify the expression, we distribute the 4 into the parenthesis. Thus, using the laws of exponents, the given expression, $\left( \dfrac{ab^2}{c^3} \right)^{4} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{a^{1(4)}b^{2(4)}}{c^{3(4)}} \\\\= \dfrac{a^{4}b^{8}}{c^{12}} .\end{array}