Question

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Answer 1

Решение:

I. 1) 5³ + 2⁴ = 125 + 16 = 141

2) (-7)² - (-2)² = 49 - 4 = 45

3) 6 * (-5/6)² = 6 * 25/36 ≈ 4,16

II. 1) m⁴ * m⁶ = m¹⁰

2) x * x⁷ = x⁸

3) a² * a¹⁶ = a¹⁸

4) a⁶ * a⁶ = a¹²

5) y * y⁹ * y⁴ = y¹⁴

6) c³ * c² * c⁸ = c¹³

7) (m + 2n)¹⁰ * (m + 2n) = (m + 2n)¹¹

8) z⁵ * z² * z * z¹¹ = z¹⁹

III. 1) a¹⁵ : a⁴ = a¹¹

2) c⁹ : c = c⁸

3) b⁸ : b⁸ = 1

4) (a - b)¹² : (a - b)⁶ = (a - b)⁶

IV. 1) a⁵ * a¹⁴ = a¹⁹

2) a⁴ * a * a² = a⁷

3) a⁹ : a⁴ = a⁵

4) a⁴² : a¹⁰ = a³²

5) a¹⁴ : a¹² * a⁹ = a¹¹

6) a¹⁸ * a⁷ : a²³ = a²

V. 1) 3⁴ * 3⁵ = 3⁹ = 19683

2) 2⁵ * 2² = 2⁷ = 128

3) 5¹¹ * 5⁷ : 5¹⁵ = 5³ = 125

4) 29¹⁰ * 29⁶ : 29¹⁴ = 29² = 841