144.
1) (0.25a⁻⁴ y⁻³)² * (a⁻³/(4y²))⁻³ =((1/4)² a⁻⁸ y⁻⁶) * (a⁹ *4³ *y⁶) =
=4⁻²⁺³ a⁻⁸⁺⁹ y⁻⁶⁺⁶ =4a
2) ((x⁻³ y⁴)/9)⁻² * (3/(x⁻² y³))⁻³ = (x⁶ y⁻⁸ * 3⁴) * (3⁻³ x⁻⁶ y⁹) =
=3⁴⁻³ x⁶⁻⁶ y⁻⁸⁺⁹ = 3y
3) (m⁻⁴/(10n⁵ k²))⁻² : (5m² n³ k)³ = (m⁸ * 10² * n¹⁰ k⁴) * (5⁻³ m⁻⁶ n⁻⁹ k⁻³)=
= 2² * 5² * 5⁻³ m⁸⁻⁶ n¹⁰⁻⁹ k⁴⁻³ =4 * 5⁻¹ m² n k = 0.8 m² n k
4) ((9c⁵)/(a³b⁻²))⁻² : ((a²b⁻³)/(6c⁴))³ = (9⁻² c⁻¹⁰ a⁶ b⁻⁴) * (6³ c¹² a⁻⁶ b⁹)=
=3⁻⁴ *2³ * 3³ c⁻¹⁰⁺¹² a⁶⁻⁶ b⁻⁴⁺⁹ = 2³ * 3⁻¹ c² b⁵ = <u>8 c² b⁵</u>
3
Решение смотри на фотографии
<span>42,7•5/8-2,7•5,8=5/8•(42,7-2,7)=5/8•40=25</span>
<span>tg4x=√3/3⇒4x=arctg(√3/3)+πn⇒4x=π/6+πn⇒x=π/24+πn/4</span>