The problems in this lesson cover radical exponents. For example, to simplify 25^(root 3) x 5^(1 - 2 root 3), notice that we have exponents and radicals. And since we have different bases, our first step is to find a like base of 5, which gives us 5^(2 root 3) x 5^(1 - 2 root 3). Next, we use the product rule, which tells us to add the exponents, and we have 5^3, or 125. When dealing with radicals and rational exponents, you may need to review lessons on adding, subtracting, and multiplying radicals. No radical exponents calculator is required, and a self-test serves as an interactive radical exponents worksheet.