Question

Упростите: 1) y⁷ · y¹² 2) y²⁰ : y⁵ 3)y²⁰ : y⁵ 4)y²⁰ ·x⁵ 5) (y²)³ 6) y²·y³ 7) 2ab³ ·3a²b⁴ 8) ( -2ab⁵ · b²)³ 9) (-2a⁵b²c)³ 10)2²₃-x²y⁸·(-1¹₂xy³)⁴

Answer 1

Ответ:

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Объяснение:

Answer 2

Давайте упростим данные выражения:

1. y⁷ · y¹² = y^(7+12) = y¹⁹

2. y²⁰ : y⁵ = y^(20-5) = y¹⁵

3. y²⁰ : y⁵ = y^(20-5) = y¹⁵

4. y²⁰ · x⁵ = y²⁰x⁵

5. (y²)³ = y^(2*3) = y⁶

6. y² · y³ = y^(2+3) = y⁵

7. 2ab³ · 3a²b⁴ = 2 * 3 * a^(1+2) * b^(3+4) = 6a³b⁷

8. (-2ab⁵ · b²)³ = (-2)^³ * a^(13) * b^(53+2*3) = -8a³b¹⁷

9. (-2a⁵b²c)³ = (-2)³ * a^(53) * b^(23) * c³ = -8a¹⁵b⁶c³

10. 2²₃-x²y⁸ · (-1¹₂xy³)⁴ = 2^(2/3) - x²y⁸ * (-1)^(1/12) * x⁴y¹² * (-1)^(1/12) * x⁴y¹² = 2^(2/3) - x²y⁸ * x⁴y¹² * x⁴y¹² = 2^(2/3) - x²y⁸+4+4 = 2^(2/3) - x²y²⁰