# Expressions with rational exponents and radicals

Contents
Learn about expressions with rational exponents like x^(2/3), about radical expressions like √(2t^5), and about the relationship between these two forms of representation. Learn how to evaluate and simplify such expression.
16 exercises available

### Exponent properties review

Practice using the exponent properties to rewrite powers, where the exponent is an integer that can either be positive or negative.

Radicals (also known as roots) are a generalization of square roots. They are the inverse operation of any power. For example, the 5th root of 32 is 2, because 2⁵=32.

### Rational exponents intro

Learn the definition for raising a number by a fractional exponent, like 8^⅔.

### Properties of exponents (rational exponents)

In this tutorial you will rewrite variable expressions with rational exponents using the properties of exponents.

### Simplifying square roots

We know how to evaluate square roots of perfect squares. For example, √16=4. What about the other square roots? It's harder to give an exact number, but we can simplify them so we have a better understanding of their value. For example, √32=4⋅√2. Learn more about it in this tutorial.