Question

Помогите плиз, нужно очень срочно

Answer 1

1.

а)

5 * ⁴√81 + 2 * ³√125 - ⁵√243 - √49 =

= 5 * ⁴√3⁴ + 2 * ³√5³ - ⁵√3⁵ - √7² =

= 5 * 3 + 2 * 5 - 3 - 7 =

= 15 + 10 - 3 - 7 = 15,

б)

6 * ³√(2 10/27) - 2 * ⁴√(5 1/16) =

= 6 * ³√(64/27) - 2 * ⁴√(81/16) =

= 6 * ³√(4/3)³ - 2 * ⁴√(3/2)⁴ =

= 6 * 4/3 - 2 * 3/2 =

= 8 - 3 = 5,

в)

(2⁷⁾⁵ * 2¹⁾² * 2⁰°³) / (2⁴⁾⁵ * 2⁰°⁴)

= (2⁷⁾⁵⁺¹⁾²⁺³⁾¹⁰) / (2⁴⁾⁵⁺²⁾⁵) =

= 2²²⁾¹⁰ : 2⁶⁾⁵ =

= 2²²⁾¹⁰⁻⁶⁾⁵ =

= 2¹⁰⁾¹⁰ = 2¹ = 2,

г)

(5⁴ * 49⁻³) / (7⁻⁷ * 25³) =

= (5⁴ * (7²)⁻³) / (7⁻⁷ * (5²)³) =

= (5⁴ * 7⁻⁶) / (7⁻⁷ * 5⁶) =

= 5⁴⁻⁶ * 7⁻⁶⁺⁷ =

= 5⁻² * 7¹ =

= 7 / 5² = 7/25,

2.

3 * ⁶√2авс³ * ⁶√8а⁵в²с * ³√2вс =

= 3 * 2¹⁾⁶ а¹⁾⁶ в¹⁾⁶ с³⁾⁶  *  (2³)¹⁾⁶ а⁵⁾⁶ в²⁾⁶ с¹⁾⁶  *  2¹⁾³ в¹⁾³ с¹⁾³ =

= 3 * 2¹⁾⁶⁺³⁾⁶⁺¹⁾³ * а¹⁾⁶⁺⁵⁾⁶ * в¹⁾⁶⁺²⁾⁶⁺¹⁾³ * с³⁾⁶⁺¹⁾⁶⁺¹⁾³ =

= 3 * 2¹ * а¹ * в⁵⁾⁶ * с⁵⁾⁶ =

= 6ав⁵⁾⁶с⁵⁾⁶   или   6а⁶√в⁵с⁵