Question

6.8. Представьте дробь в виде степени с целым показателем: 2ab²/c²x³ ; 54x³y²/2a⁵b⁴ ; 4/(x+y)³ ; (a-b)³/(a+b)⁵​

Answer 1

1) 2ab² / c²x³ can be written as (2ab² / c²) * (1 / x³). This can be simplified as (2a / cx) * (b² / c²) * (1 / x³) = (2a * b²) / (c * x * c² * x³) = 2a * b² / c³ * x⁴.

2) 54x³y² / 2a⁵b⁴ can be written as (54 / 2) * (x³ / a⁵) * (y² / b⁴). This can be simplified as 27 * (x / a)³ * (y / b)².

3) 4 / (x + y)³ can be written as 4 * (1 / (x + y)³). This cannot be simplified any further.

4) (a - b)³ / (a + b)⁵ can be simplified as (a - b)³ * (1 / (a + b)⁵). This cannot be simplified any further.