Răspuns:
- 39/4
Explicație pas cu pas:
(√2)⁴·(1/2)⁴ - [√(25/2)]⁶ :(5/√2)⁴ ·√(16/25) = ?
(√2)⁴ = 2⁴⁽² = 2² = 4
(1/2)⁴ = 1/2⁴ = 1/16
[√(25/2)]⁶ = (25/2)⁶⁽² = (25/2)³ = 5²ˣ³/8 = 5⁶/8
(5/√2)⁴ = 5⁴/2² = 5⁴/4
√(16/25) = √16/√25 = 4/5 =>
(√2)⁴·(1/2)⁴ - [√(25/2)]⁶ :(5/√2)⁴ ·√(16/25) =
= 4·1/16 - 5⁶/8 ·4/5⁴·4/5 =
= 4/16 - 5⁶⁻⁴⁻¹·16/8 =
= 1/4 - 5·2 = 1/4 - ⁴⁾10 = - 39/4
