# Solve: Rational Exponents and Radicals

What is a rational exponent? How are rational exponents related to radicals? Give an example of how an expression with a rational exponent can be rewritten as a radical expression. Explain how the process of combining radicals through addition and subtraction is similar to combining polynomials. What makes two radicals like radicals? Give an example.

Â© BrainMass Inc. brainmass.com November 30, 2021, 4:21 am ad1c9bdddfhttps://brainmass.com/math/basic-algebra/solve-rational-exponents-radicals-351313

#### Solution Preview

What is a rational exponent? How are rational exponents related to radicals? Give an example of how an expression with a rational exponent can be rewritten as a radical expression.

Rational exponent: When a number is in the form where both m and n are integers then the exponent is called a rational exponent.

The simplest case of such exponents is where n is an integer other than zero.

When we say , it means .

In other words, when we write , we are asking for the number 'a' that might have been raised to the power n to get b. In this situation, we can ...

#### Solution Summary

This solution is provided in full in a Word document and explains how the process of combining radicals through addition and subtraction is similar to combining polynomials.