263 Вправа 263Алгебра 8 клас Бевз 2025 · § 6 · стор. 57

263. Поділи дріб 2/x на: x², x, 1/x, 1/x², 1/x³, 1/x⁴.

${\displaystyle \frac{2}{x}:x^2=}$${\displaystyle \frac{2}{x}\cdot \frac{1}{x^2}=}$${\displaystyle \frac{2}{x\cdot x^2}=}$${\displaystyle \frac{2}{x^3}}$;

${\displaystyle \frac{2}{x}:x=}$${\displaystyle \frac{2}{x}\cdot \frac{1}{x}=}$${\displaystyle \frac{2}{x\cdot x}=}$${\displaystyle \frac{2}{x^2}}$;

${\displaystyle \frac{2}{x}:\frac{1}{x}=}$${\displaystyle \frac{2}{x}\cdot x=}$${\displaystyle \frac{2\cdot \cancel{x}}{\cancel{x}}=}$${\displaystyle 2}$;

${\displaystyle \frac{2}{x}:\frac{1}{x^2}=}$${\displaystyle \frac{2}{x}\cdot x^2=}$${\displaystyle \frac{2\cdot x^2}{x}=}$${\displaystyle \frac{2\cdot x\cancel{x}}{\cancel{x}}=}$${\displaystyle 2x}$;

${\displaystyle \frac{2}{x}:\frac{1}{x^3}=}$${\displaystyle \frac{2}{x}\cdot x^3=}$${\displaystyle \frac{2\cdot x^3}{x}=}$${\displaystyle \frac{2\cdot x^2\cancel{x}}{\cancel{x}}=}$${\displaystyle 2x^2}$;

${\displaystyle \frac{2}{x}:\frac{1}{x^4}=}$${\displaystyle \frac{2}{x}\cdot x^4=}$${\displaystyle \frac{2\cdot x^4}{x}=}$${\displaystyle \frac{2\cdot x^3\cancel{x}}{\cancel{x}}=}$${\displaystyle 2x^3}$.