Объяснение:
1)
(0,5)³ * 8⁷ * 12² / 6³ * 2¹⁵ =
(1/2)³ * 8⁷ * 12² / 6³ * 2¹⁵ =
2-³ * (2³)⁷ * (2 * 6)² / 6³ * 2¹⁵ =
2-³ * 2²¹ * 2² * 6² / 6³ * 2¹⁵ =
2²⁰ * 6² / 6³ * 2¹⁵ = 2⁵/6 = 32/6 = 16/3 = 5 1/3
2)
(1/4)³ * 9 * 20³ / 18⁴ * 5² =
2-⁶ * 3² * (4 * 5)³ / (9 * 2)⁴ * 5² =
2-⁶ * 3² * 4³ * 5³ / 9⁴ * 2⁴ * 5² =
2-⁶ * 3² * (2²)³ * 5³ / (3²)⁴ * 2⁴ * 5² =
2-⁶ * 3² * 2⁶ * 5³ / 3⁸ * 2⁴ * 5² =
3² * 5³ / 3⁸ * 2⁴ * 5² = 5 / 3⁶ * 2⁴ =
5 / 3² * 6⁴ = 5 / 9 * 1296 = 5/11664
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Answers & Comments
Объяснение:
1)
(0,5)³ * 8⁷ * 12² / 6³ * 2¹⁵ =
(1/2)³ * 8⁷ * 12² / 6³ * 2¹⁵ =
2-³ * (2³)⁷ * (2 * 6)² / 6³ * 2¹⁵ =
2-³ * 2²¹ * 2² * 6² / 6³ * 2¹⁵ =
2²⁰ * 6² / 6³ * 2¹⁵ = 2⁵/6 = 32/6 = 16/3 = 5 1/3
2)
(1/4)³ * 9 * 20³ / 18⁴ * 5² =
2-⁶ * 3² * (4 * 5)³ / (9 * 2)⁴ * 5² =
2-⁶ * 3² * 4³ * 5³ / 9⁴ * 2⁴ * 5² =
2-⁶ * 3² * (2²)³ * 5³ / (3²)⁴ * 2⁴ * 5² =
2-⁶ * 3² * 2⁶ * 5³ / 3⁸ * 2⁴ * 5² =
3² * 5³ / 3⁸ * 2⁴ * 5² = 5 / 3⁶ * 2⁴ =
5 / 3² * 6⁴ = 5 / 9 * 1296 = 5/11664