Rational Exponents

Question

Based on what I have told you √a² b⁴=ab², but I have made a mistake. Find a counterexample where this is not true. How do you propose we fix the mistake?

Answer 1

Let a = -1 and b = 2.

Then, √(a²b⁴) = √16 = 4, but ab² = -4.

The equation should be √(a²b⁴) = l a l b²