Question

((b^(-2))/(a^(-2)))((b)/(a))^(2)

Answer 1

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: brainly.com/question/11975096

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