Single-step simplification of rational exponent expressions

The  exercise appears under the Algebra II Math Mission. This exercise practices evaluating numerical exponential expressions and simplify variable exponential expressions by using the properties of exponents.

Types of Problems
There is one type of problem in this exercise:


 * 1) Solve for the variable: This problem provides a rational expression involving exponents. The student is asked to simplify the expression and type what the variable represents.Single-step simplification of rational exponent expressions.PNG

Strategies
Knowledge of solving expressions with exponents is sufficient for being able to complete this exercise accurately and efficiently.
 * 1) Students should recall that roots of radical expressions are the same thing as fractional exponents with a numerator of 1. In other words, the $$n^{th}$$ root of $$p$$, or $$\sqrt[n]{p}$$ is the same as $$p^{\frac{1}{n}}$$.

Real-life Applications

 * 1) Simplification of algebraic expression increases algebraic proficiency which is vital in any mathematics courses from calculus and beyond, including any applied courses.