### Home > PC3 > Chapter 2 > Lesson 2.2.4 > Problem2-104

2-104.

​As the connected complexity of mathematical concepts evolve, your mathematical knowledge evolves as well. Previous knowledge provides the necessary skills to acquire new learning. If necessary, review the Properties of Exponents Skill Builder, to strengthen your understanding of this topic.

Rewrite each the following expressions using the properties of exponents.

1. $(5^2b^{-​4})^3(3b^5)^{-​2}$

1. $\frac { x ^ { - 3 } ( x ^ { 2 } ) ^ { - 2 } y ^ { 3 } z } { x y ^ { - 4 } z ^ { 4 } }$

1. $\left(\frac{2x^{-2}y^3}{x^{-5}y^7}\right)^3$

1. $\left(\frac{a^6}{27}\right)^{-2/3}$

Answers and extra practice for the Skill Builder problems are located in the Reference Tab of your eBook.
Click the following link: Properties of Exponents Skill Builder