Simplify each expression. Use positive exponents.

(x-2y-4x3) - 2,

The Expression is

(x^-2y^-4x³) ^-2

We can combine the x terms inside the brackets using the concept;

x ^a * x^b = x^ (a+b)

Therefore,

(x^-2) (x^3) = x^ (3-2) = x^!

Thus we get;

(xy^-4) ^-2

Using the concept

(x^a) ^b = x^ (ab)

Therefore

= x ^ (-2*1) y^ (-2*-4)

=x^-2y^8

But using the concept; x^-a = 1/x^a

Thus, x^-2y^8 = y^8/x²

Hence the simplified equation is;

= y^8/x²