What is the following product? 5th root of 4 x squared times 5th root of 4 x squared

Because both factors are fifth roots, multiply the quantities inside the roots: √[5]{4x²} · √[5]{4x²} = √[5]{(4x²)(4x²)} = √[5]{16x⁴}. This matches the fifth root of 16x to the fourth power.

AI-written and checked against the verified answer.