Chapter 7 - Exponents and Exponential Functions - 7-5 Division Properties of Exponents - Practice and Problem-Solving Exercises - Page 445: 67

$\frac{y^{10}}{2x^{5}}$

Work Step by Step

Given : $\frac{4}{8}\times$$\frac{x^{-2}}{x^{3}}\times$$\frac{y^{4}}{y^{-6}}$ This becomes : $\frac{1}{2}\times$$x^{-2-3}\times$$y^{4-(-6)}=$$\frac{1}{2}\times$$x^{-5}\times$$y^{10}$ (since $\frac{a^{m}}{a^{n}}=$ $a^{m-n}$) Final result : $\frac{y^{10}}{2x^{5}}$ (since $a^{-n}=$ $\frac{1}{a^{n}}$)

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