Power and product 1: (XY ^ 4) m means m of XY4 square 2: - (P ^ 2q) n means the ^ n of: - (sum of squares of P, q) 3: (XY ^ 3n) ^ 2 + (XY ^ 6) ^ n means the square of (XY ^ 3n) + (XY ^ 6) ^ n 4: (- 3x ^ 3) ^ 2 - {(2x) ^ 2} ^ 3 means: (- 3x's Cube) square - {(2x) square} cube

Power and product 1: (XY ^ 4) m means m of XY4 square 2: - (P ^ 2q) n means the ^ n of: - (sum of squares of P, q) 3: (XY ^ 3n) ^ 2 + (XY ^ 6) ^ n means the square of (XY ^ 3n) + (XY ^ 6) ^ n 4: (- 3x ^ 3) ^ 2 - {(2x) ^ 2} ^ 3 means: (- 3x's Cube) square - {(2x) square} cube

one
(xy^4)^m
=x^m*y^(4m)………… (m power of X * 4m power of Y)
two
-(p^2q)^n
=-p^(2n)*q^n
three
(xy^3n)^2+(xy^6)^n
=x^2y^(6n)+x^n*y^(6n)
=y^(6n)*(x^2+x^n)
four
(-3x^3)^2-{(2x)^2}^3
=9x^6-(2x)^6
=9x^6-2^6*x^6
=9x^6-64x^6
=-55x^6