Licznik: 5x⁵(2x³y⁴)² = 5 * x⁵ * (2 * x³ * y⁴)² = 5 * x⁵ * (2)² * (x³)² * (y⁴)² = 5 * x⁵ * 4 * x⁶ * y⁸ = 5 * 4 * x⁵ * x⁶ * y⁸ = 20 * x⁵⁺⁶ * y⁸ = 20 * x¹¹ * y⁸ Mianownik: 25(x³y)³xy⁶ = 25 * (x³)³ * (y)³ * x * y⁶ = 25 * x⁹ * y³ * x * y⁶ = 25 * x¹ * x⁹ * y³ * y⁶ = 25 * x¹⁺⁹ * y³⁺⁶ = 25 * x¹⁰ * y⁹ Czyli cały ułamek to: 20 * x¹¹ * y⁸ ----------------- = 25 * x¹⁰ * y⁹ 4 * 5 * x¹⁰ * x * y⁸ --------------------------- = 5 * 5 * x¹⁰ * y⁸ * y 4 * x -------- 5 * y x=555 i y=4. 4 * 555 ---------- = 5 * 4 555 -------- = 5 111
5x⁵(2x³y⁴)² = 5 * x⁵ * (2 * x³ * y⁴)² = 5 * x⁵ * (2)² * (x³)² * (y⁴)² = 5 * x⁵ * 4 * x⁶ * y⁸ = 5 * 4 * x⁵ * x⁶ * y⁸ = 20 * x⁵⁺⁶ * y⁸ = 20 * x¹¹ * y⁸ ___________________________________ 25(x³y)³xy⁶ = 25 * (x³)³ * (y)³ * x * y⁶ = 25 * x⁹ * y³ * x * y⁶ = 25 * x¹ * x⁹ * y³ * y⁶ = 25 * x¹⁺⁹ * y³⁺⁶ = 25 * x¹⁰ * y⁹ 20 * x¹¹ * y⁸ / 25 * x¹⁰ * y⁹ = 4 * 5 * x¹⁰ * x * y⁸ / 5 * 5 * x¹⁰ * y⁸ * y = = 4 * x / 5 * y = x=555 y=4 4 * 555 / 5 * 4 = 2220 / 20 = 111:) /- kreska ułamkowa *- mnożenie