Question

1) (0,2x²·y)³·1000x⁴y⁷ 2) (a²b)³·(-32a²b) 3) (-mn⁴)²·(-27m⁵n) 4) -0,6c⁷d⁷·(0,5cd²)²

Answer 1

1) (0,2x²·y)³·1000x⁴y⁷=0,2³·x⁶y³·8·5³x⁴y⁷=5⁻³x⁶y³·8·5³x⁴y⁷=8x¹⁰y¹⁰

2) ((1÷4)a²b)³·(-32a²b)=(0.25a²b)³·(-32a²b)=-0.25³·a⁶b³·2⁵a²b=-2⁻⁶a⁶b³·⁵a²b=-2⁻¹a⁸b⁴=-0.5a⁸b⁴

3) (-(2÷3)mn⁴)²·(-27m⁵n)=((2÷3)mn⁴)²·(-27m⁵n)=-(4÷9)m²n⁸·27m⁵n=-4m²n⁸·3m⁵n=-12m⁷n⁹

4) -0,6c⁷d⁷·(0,5cd²)²=-(3÷5)c⁷d⁷·(1÷2)²·c²d⁴=-(3÷5)c⁷d⁷·(1÷4)c²d⁴=-(3÷20)c⁹d¹¹