А1. Вычислите: a) 2⁻³ ⋅ 2/3⁻²; б) (-3)⁻³; в) 35 + (1/5)⁻².

Разбираемся:

a) 2⁻³ ⋅ 2/3⁻² = 2⁻³ ⋅ 3²/2 = 9 / (2³ ⋅ 2) = 9 / (8 ⋅ 2) = 9 / 16

б) (-3)⁻³ = 1 / (-3)³ = 1 / (-27) = -1/27

в) 35 + (1/5)⁻² = 35 + 5² = 35 + 25 = 60

Ответ: а) 9/16; б) -1/27; в) 60