The simplified form of the given expression is 1/b
Expanding exponential equations
Given the expression below;
((b^(-2))/(a^(-2)))((b)/(a))^(2)
Solve the numerator to have:
((b^(-2))/(a^(-2)))((b)/(a))^(2) = (1/b²)/(1/a²)/(b/a²)
This can be simplified further as;
(1/b²)/(1/a²)/(b/a²) = (1/b²)/(1/a²)*(a²/b)
(1/b²)/(1/a²)/(b/a²) = (1/b²)/(1/b)
(1/b²)/(1/a²)/(b/a²) = (1/b²) * b/1
(1/b²)/(1/a²)/(b/a²) = 1/b
Therefore the simplified form of the given expression is 1/b
Learn more on exponents here: https://brainly.com/question/11975096
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