4^-2,5-(1/16)^1,5+(5/4)^-3,5×(0,8)^-3,5 - вопрос №71469904251161554350835 от Роман768 11.04.2021 05:40

Question

Математика: 4^-2,5-(1/16)^1,5+(5/4)^-3,5×(0,8)^-3,5

Роман768 · Answer

4^(-2.5) - (1/16)^(1.5) + (5/4) ^(-3.5) x (0.8) ^(- 3.5) =
= 4 ^ (- 5/2) - 4 ^( - 2*1.5) + (4/5)^ (3.5) x (4/5)^(-3.5) =
= 4^(- 5/2) - 4 ^ (-3) + (4/5 ) ^ (3.5 + (-3.5)) =
= 1/√4⁵ - 1/4³ + (4/5)⁰ =
= 1/32 - 1/64 + 1 =
= 2/64 - 1/64 + 1 =
= 1 1/64