Ahhh it does make a difference

The video tutorial addresses a common misconception about taking the square root of X to the 8th power. It explains that students often mistakenly think they can rewrite it as X squared to the 4th power, but this approach is incorrect because square roots and 4th powers are not inverse operations. The correct method is to rewrite it as the square root of X4 squared, allowing the square root and square to cancel each other out, resulting in X to the 4th power. This solution aligns with the product rule.

What is the result of rewriting the square root of X to the 4th power?

Describe the product rule mentioned in the context of square roots and powers.