Известно,что 3x^3y=4.Найдите: 1)21x^3y; 2)25x^6y^2; 3)-6x^-3y^-1; 4)8x^-9y^-3; 5)-2/7x^6y^2; 6)5x^-6y^-2

Дано: 3 x³ y = 4, тогда x³ y = 4/3.

1) 21 х³ у = 21 * 4/3 = 28.

2) 25 x⁶ y² = 25 * (х³ у)² = 25 * (4/3)² = 25 * 16 / 9 = 400/9.

3) -6 x^-3 y^-1 = -6 (х³ у)^-1 = -6 * (4/3)^-1 = -6 * 3 / 4 = -4,5.

4) 8 x^-9 y^-3 = 8 (х³ у)^-3 = 8 * (4/3)^-3 = 8 * (¾)³ = 8 * 27 / 64 = 9/8.

5) -2/7 x⁶ y² = -2/7 (х³ у)² = -2/7 * (4/3)² = -2/7 * 16 / 9 = -32/63.

6) 5 x^-6 y^-2 = 5 (х³ у)^-2 = 5 * (4/3)^-2 = 5 * (¾)² = 5 * 9 / 16 = 45/16.

Ответ: 28; 400/9; 4,5; 9/8; -32/63; 45/16.