Answer
$(x+9y)^{2}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To simplify the given expression, $
\dfrac{(x+9y)^7}{(x+9y)^5}
,$ 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{(x+9y)^7}{(x+9y)^5}
\\\\=
(x+9y)^{7-5}
\\\\=
(x+9y)^{2}
.\end{array}
