## Intermediate Algebra: Connecting Concepts through Application

$(2a-c)^{2}$
$\bf{\text{Solution Outline:}}$ To simplify the given expression, $\dfrac{(2a-c)^{10}}{(2a-c)^8} ,$ use the laws of exponents. $\bf{\text{Solution Details:}}$ Using the Quotient Rule of the laws of exponents, which states that $\dfrac{x^m}{x^n}=x^{m-n},$ the expression above simplifies to \begin{array}{l}\require{cancel} \dfrac{(2a-c)^{10}}{(2a-c)^8} \\\\= (2a-c)^{10-8} \\\\= (2a-c)^{2} .\end{array}