# Chapter R - Elementary Algebra Review - R.4 Polynomials - R.4 Exercise Set: 18

$\dfrac{b^{7}}{a^{7}}$

#### Work Step by Step

Using the laws of exponents, the given expression, $\dfrac{a^2b^9}{a^9b^2} ,$ simplifies to \begin{array}{l}\require{cancel} a^{2-9}b^{9-2} \\\\= a^{-7}b^{7} \\\\= \dfrac{b^{7}}{a^{7}} .\end{array}

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