# Chapter 4 - Polynomials - 4.1 Exponents and Their Properties - 4.1 Exercise Set: 24

$8^{10}n^{10}$

#### Work Step by Step

Since $a^x\cdot a^y=a^{x+y}$, then the given expression, $(8n)(8n)^{9}$, simplifies to \begin{array}{l}\require{cancel} (8n)^{1+9} \\\\= (8n)^{10} .\end{array} Since $(ab)^x=a^xb^x$, then the expression above simplifies to \begin{array}{l}\require{cancel} 8^{10}n^{10} .\end{array}

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