I)(2x⁵y⁷)³÷(x¹⁴y²⁰) - (3xy⁵)³÷(x²y¹⁴)=(8xy)-(3xy)=5xy
1)(2x⁵y⁷)³÷(x¹⁴y²⁰)=(8x¹⁵y²¹)÷(x¹⁴y²⁰)=(8xy)
2)(3x³y¹⁵)÷(x²y¹⁴)=(3xy)
II)(-3a⁴b⁵)²·(-2a²b³)³÷(-72a⁶b⁹)²+a²b=(-72)a²b+a²b=(-71)a²b
1)(-3a⁴b⁵)²·(-2a²b³)³=(9a⁸b¹⁰)·(-8a⁶b⁹)=(-72a¹⁴b¹⁹)
2)(-72a¹⁴b¹⁹)÷(-72a⁶b⁹)²=(-72a¹⁴b¹⁹)÷(5184a¹²b¹⁸)=(-72a²b)
III)(5x⁶y²)³·(-x⁸y⁷)²÷(-0,2x¹⁵y¹⁰)²-10x⁴=(-3125x⁴)-10x⁴=(-3135x⁴)
1)(5x⁶y²)³·(-x⁸y⁷)²=(125x¹⁸y⁶)·(-x¹⁶y¹⁴)=(125(-x³⁴)y²⁰)
2)(125(-x³⁴)y²⁰)÷(-0,2x¹⁵y¹⁰)²=(125(-x³⁴)y²⁰)÷(0,04x³⁰y²⁰)=(62,5(-x⁴)÷0,02)=(-31,25x⁴÷0,01)=(-31,25x⁴·100)=(-3125x⁴)
IV)(-2a¹⁰b²⁰)²÷(-a²b³)³÷(-2a⁵b²⁴)²=(-4a⁹⁴b³⁹¹)÷(-2a⁵b²⁴)²=(-4a⁹⁴b³⁹¹)÷(4a²⁵b⁵⁷⁶)=. (-a⁶⁹b¹⁸⁵)
1)(-2a¹⁰b²⁰)²÷(-a²b³)³=(4a¹⁰⁰b⁴⁰⁰)÷(-a⁶b⁹)=(-4a⁹⁴b³⁹¹)