989. Вычислите: a) (1/3)⁻³; б) (3/4)⁻¹; в) 0,01⁻²; г) (1 2/3)⁻⁴; д) 0,002⁻¹; e) (-1 1/3)⁻⁵.

Решение:

• a) (1/3)⁻³ = 3³ = 27
• б) (3/4)⁻¹ = 4/3
• в) 0.01⁻² = (1/100)⁻² = 100² = 10000
• г) (1 2/3)⁻⁴ = (5/3)⁻⁴ = (3/5)⁴ = 3⁴/5⁴ = 81/625
• д) 0.002⁻¹ = (2/1000)⁻¹ = (1/500)⁻¹ = 500
• e) (-1 1/3)⁻⁵ = (-4/3)⁻⁵ = (-3/4)⁵ = (-3)⁵ / 4⁵ = -243 / 1024

Ответ: a) 27; б) 4/3; в) 10000; г) 81/625; д) 500; e) -243/1024.