1)
(2х⁵у⁷)³ : (х¹⁴у²⁰) - (3ху⁵)³ : (х²у¹⁴) =
= 8х¹⁵у²¹ : х¹⁴у²⁰ - 27х³у¹⁵ : х²у¹⁴ =
= 8ху - 27ху = - 19ху,
2)
(-2а⁴в⁵)² * (-2а²в³)³ : (-72а⁶в⁹)² + а²в =
= 4а⁸в¹⁰ * (-8а⁶в⁹) : 5184а¹²в¹⁸ + а²в =
= -1/162 а²в + а²в = 161/162 а²в (или 161а²в/162),
3)
(5х⁶у²)³ * (-х⁸у⁷)² : (0,2х¹⁵у¹⁰)² - 10х⁴ =
= 125х¹⁸у⁶ * х¹⁶у¹⁴ : 0,04х³⁰у²⁰ - 10х⁴ =
= 3125х⁴ - 10х⁴ = 3115х⁴,
4)
(-2а¹⁰в²⁰)² : (-а²в³)³ : (-2а⁵в²⁴)² =
= 4а²⁰в⁴⁰ : (-а⁶в⁹) : 4а¹⁰в⁴⁸ = -а⁴в⁻¹⁷
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Answers & Comments
1)
(2х⁵у⁷)³ : (х¹⁴у²⁰) - (3ху⁵)³ : (х²у¹⁴) =
= 8х¹⁵у²¹ : х¹⁴у²⁰ - 27х³у¹⁵ : х²у¹⁴ =
= 8ху - 27ху = - 19ху,
2)
(-2а⁴в⁵)² * (-2а²в³)³ : (-72а⁶в⁹)² + а²в =
= 4а⁸в¹⁰ * (-8а⁶в⁹) : 5184а¹²в¹⁸ + а²в =
= -1/162 а²в + а²в = 161/162 а²в (или 161а²в/162),
3)
(5х⁶у²)³ * (-х⁸у⁷)² : (0,2х¹⁵у¹⁰)² - 10х⁴ =
= 125х¹⁸у⁶ * х¹⁶у¹⁴ : 0,04х³⁰у²⁰ - 10х⁴ =
= 3125х⁴ - 10х⁴ = 3115х⁴,
4)
(-2а¹⁰в²⁰)² : (-а²в³)³ : (-2а⁵в²⁴)² =
= 4а²⁰в⁴⁰ : (-а⁶в⁹) : 4а¹⁰в⁴⁸ = -а⁴в⁻¹⁷