Learn how to convert between radicals and rational exponents, and see examples that walk through sample problems step-by-step for you to improve your math knowledge and skills.

Let us explore the concept of rational exponents, how to simplify them, the relation between rational exponents and radicals along with some solved examples for a better understanding.

Whether you're in Algebra 1, Algebra 2, or Pre-Calculus, this video will give you the confidence to easily switch between rational exponent form and radical form.

Oct 8, 2025 · An expression with a rational exponent is equivalent to a radical where the denominator is the index and the numerator is the exponent. Any radical expression can be written with a rational …

If we apply the rules of exponents, we can see how there are two possible ways to convert an expression with a fractional exponent into an expression in radical form.

Sep 13, 2025 · We know that new mathematical concepts can sometimes feel overwhelming, but converting rational exponents to radical form doesn’t have to be. This section is designed as an easy …

In our last example we will rewrite expressions with rational exponents as radicals. This practice will help us when we simplify more complicated radical expressions, and as we learn how to solve radical …

When faced with an expression containing a rational exponent, you can rewrite it using a radical. In the table above, notice how the denominator of the rational exponent determines the index of the root.

Write each of the following fractional exponents in radical form. Write each of the following radicals in exponential form. Evaluate the following. Simplify. Your answer should only contain positive …

In this lesson, exponential notation will be extended to rational numbers. Here are a few recommended readings before getting started with this lesson. Here are a few practice exercises before getting …