Question

am nevoie de ajutor urgent​

Answer 1

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

Answer 2

Răspuns:

Explicație pas cu pas:

=2^(2-4) - 5^6·2³:5^4·2²·4/5=2^(-2) - 5·2³=1/4-40=-159/40