Question

(-2/3х³у)²×(-1 1/2ху³)³

Answer 1

Ответ:

(-2/3x³y)² = (-2/3)² * (x³)² * (y)² = 4/9 * x⁶ * y²

(-1 1/2x³y³)³ = (-3/2)³ * (x³)³ * (y³)³ = -27/8 * x⁹ * y⁹

(4/9 * x⁶ * y²) * (-27/8 * x⁹ * y⁹) = (4/9) * (-27/8) * x⁶ * x⁹ * y² * y⁹

(4/9) * (-27/8) = -1

x⁶ * x⁹ = x⁶⁺⁹ = x¹⁵

y² * y⁹ = y²⁺⁹ = y¹¹

-1 * x¹⁵ * y¹¹

Таким чином, вираз (-2/3x³y)² * (-1 1/2x³y³)³ дорівнює -x¹⁵y¹¹.