1).4xy²:2y 2).3x²y⁴:x²y³ 3).( (x)²)³ 4).(3x5)³ 5).(a5b³) 6).32x5y8:2x³y²x8xy⁴2³) 7).(2a-3)³

1)2xy
2)3y
3)(x)²×(x)²×(x)²=(x)^6
4)(3×5)×(3×5)×(3×5)

1. 4xy^2 : 2y = 2xy
2. 3x^2y^4 : x^2y^3 = 3y
3. ((x)^2)^3 = x^6
4. (3 × 5)^3 = 15^3 = 3375
5.(a5b^3) = a5b^3
6.32x^5y^8 : 2x^3y^2 × 8xy^4 2^3
= 16x^2y^6 × 8xy^4 2^3
= 128x^3y^10 2^3
= 128x^3y^10 × 8
= 1024x^3y^10

7. (2a - 3)^3 = (2a - 3)(4a^2 - 12a + 9)
= 8a^3 - 24a^2 + 18a - 12a^2 + 36a - 27
= 8a^3 - 36a^2 + 54a - 27