9a to the second power/b to the second power simplify

Answer 1

9a^2/b^2 = 3^2(a)^2/b^2 = (3a/b)^2

That's probably as "simple" as it gets

However, the way it's written is slightly ambiguous.

It might have meant (9a)^2/b^2 = (9a/b)^2

Odds are the first answer is intended though

Answer 2

These are all squared terms, so this expression could be written as the suare roots all taken together, then squared as one unit

9a²/b² = (3² x a²)/b²

The numerator, (3² x a²), can be rewritten as (3a)²

That makes the expression, (3a)² / b²

Since the numerator and denominator are both squared, those can be combined giving (3a/b)²

Hope this helps