# Chapter 5 - Section 5.7 - Negative Exponents and Scientific Notation - Exercise Set - Page 409: 67

$\dfrac{1}{y^2}$

#### Work Step by Step

Using the laws of exponents, the given expression, $\dfrac{(y^3)^4}{(y^2)^7} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{y^{3(4)}}{y^{2(7)}} \\\\= \dfrac{y^{12}}{y^{14}} \\\\= y^{12-14} \\\\= y^{-2} \\\\= \dfrac{1}{y^2} .\end{array}

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