Question

Simplify:

`((x^(2 - 3n) * x^(4 + 3n))/x^3)^2`

Answer 1

We are asked to simplify:

`((x^((2 - 3n)) * x^((4 + 3n)))/x^3)^2`

Step 1: Combine exponents in numerator

`x^((2 - 3n)) * x^((4 + 3n)) = x^((2 - 3n + 4 + 3n)) = x^6`

Step 2: Divide by denominator

`x^6/x^3 = x^(6 - 3) = x^3`

Step 3: Apply the square

`(x^3)^2 = x^(3*2) = x^6`