# Chapter 4 - Polynomials - 4.1 Exponents and Their Properties - 4.1 Exercise Set - Page 236: 39

$1$

#### Work Step by Step

Using $\dfrac{a^x}{a^y}=a^{x-y}$, then the expression, $\dfrac{(x+y)^8}{(x+y)^8}$, simplifies to \begin{array}{l}\require{cancel} (x+y)^{8-8} \\\\= (x+y)^{0} \\\\= 1 .\end{array}

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