### Home > CCA2 > Chapter Ch3 > Lesson 3.2.1 > Problem3-67

3-67.

This problem is a checkpoint for rewriting and simplifying expressions with integral and rational exponents. It will be referred to as Checkpoint 3A.

For parts (a) through (d), rewrite each expression. For parts (e) through (h), simplify each expression.

1. $\sqrt [ 5 ] { x }$

1. $\frac { 1 } { x ^ { 3 } }$

1. $x^{2/3}$

1. $\frac { 1 } { \sqrt { x } }$

1. $x^{−1}y^{−​8}$

1. $(m^2)^{−​3/2}$

1. $(x^3y^6)^{1/2}$

1. $(9x^3y^6)^{−​2}$

Ideally, at this point you are comfortable working with these types of problems and can solve them correctly. If you feel that you need more confidence when solving these types of problems, then review the Checkpoint 3A materials and try the practice problems provided. From this point on, you will be expected to do problems like these correctly and with confidence.

Answers and extra practice for the Checkpoint problems are located in the back of your printed textbook or in the Reference Tab of your eBook. If you have an eBook for CCA2, login and then click the following link: Checkpoint 3A: Expressions with Integral and Rational Exponents