# Chapter 7 - Exponents and Exponential Functions - 7-5 Division Properties of Exponents - Practice and Problem-Solving Exercises - Page 444: 44

$-\frac{27y^{12}}{8x^{9}}$

#### Work Step by Step

Given : $(-\frac{3y^{4}}{2x^{3}}$$)^{3}$ This becomes : $(-1)^{3}\times\frac{(3y^{4})^{3}}{(2x^{3})^{3}}=$ $-1\times\frac{3^{3}\times y^{12}}{2^{3}\times x^{9}}$ (since $(\frac{a}{b}$ $)^{m}=$ $\frac{a^{m}}{b^{m}}$ and $(a^{m})^{n}=$ $a^{mn}$) This becomes : $-\frac{27y^{12}}{8x^{9}}$

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