book Maths Puzzle Numerical Ability

Please help, have I done this correctly? I have nothing to compare it to.
Problem: (X^3/5 Y^-2)^5(2X^-4/5 Y^3)^3
Work: (X^3 Y^-10)(8X^-12 Y^9) = (X^3/y^10)(Y^9/8X^12) = X^3Y^9/8

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book Other Question

can someone please check my answers to: factor the sums or differences of two cubes

m^3-n^3
MY ANSWER m^3-n^3=(m-n)(m^3+mn+n^3)

c^3+f^3
MY ANSWER c^3+f^3=(c+f)(c^3-cf-f^3) Divide

2x^3 -3x^2 -3x +6 Divided by X - 1