Albebraic Expression?

Question

How do I simplify this expression:
(a^2b^3/b^-2)^2 / (a^1b^4/a^2)^-2

Please run me through the steps
thankyou

Answer 1

The expression is .

Apply negative exponents property : .

Apply quotient rule of exponents : .

Apply product rule of exponents : (ab)^m = a^m * b^m.

Apply power rule of exponents : (a^m )ⁿ = a^mn.

cancel common terms.

Apply negative exponents property : .

Positive integer exponents : .

.

Therefore, .