-(2x^4)^2*(-x^2/2)^3

=-4x^8*(-x^6/8)

=x^(8-6)/2

=x^2/2

2.

(-3x^3y^2)*(-2x^2y)^3

=-3x^3y^2)*(-8x^6y^3)

=24x^(3+6)y^(2+3)

=24x^9y^5

3.

4.

x^2n=2

(3x^3n)^2-4(x^2)^2n

=9x^6n-4x^4n

=9(x^2n)^3-4(x^2n)^2

=9×2^3-4×2^2

=72- 16

=56

a=2^55=(2^5)^ 1 1=32^ 1 1

b=3^44=(3^4)^ 1 1=8 1^ 1 1

c=5^33=(5^3)^ 1 1= 125^ 1 1

d=6^22=(6^2)^ 1 1=36^ 1 1

32 < 36 < 8 1 < 125, so a < d < b < c.