# Chapter 5 - Section 5.7 - Negative Exponents and Scientific Notation - Exercise Set - Page 409: 69

$\dfrac{1}{y^{50}}$

#### Work Step by Step

Using the laws of exponents, the given expression, $(y^{10})^{-5} ,$ simplifies to \begin{array}{l}\require{cancel} y^{10(-5)} \\\\= y^{-50} \\\\= \dfrac{1}{y^{50}} .\end{array}

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