Question

Решите номер 69 и 70. Алгебра.

Answer 1

Ответ:

№69

1) (y⁴)³ = y¹²

2) (-x⁶)² = x¹²

3) m⁵m⁴ = m⁹

4) (m⁵)⁴ = m²⁰

5) ((a⁷)³)² = a⁴²

6) (a⁶)³ · (a²)⁴ = a¹⁸ · a⁸ = a²⁶

№70

1) 2²⁴ : (2⁸)² = 2²⁴ : 2¹⁶ = 2²⁴⁻¹⁶ = 2⁸ = 256

2) (11³)⁴ : (11⁵)² = 11¹² : 11¹⁰ = 11¹²⁻¹⁰ = 11² = 121

3) 7⁹ · (7²)⁶ : 7¹⁹ = 7⁹ · 7¹² : 7¹⁹ = 7⁹⁺¹²⁻¹⁹ = 7² = 49

4) 16² · 8 = 8² · 2 · 8 = 2⁶ · 2 · 2³ = 2¹⁰ = 2048

5) $\frac{10^{17}*(10^2)^3}{(10^3)^4 * 10^9} = \frac{10^{17}*10^6}{10^{12}*10^9} = \frac{10^5}{10^3} = 10^{5-3} = 10^2 = 100$

6) $\frac{9^3 * 81^2}{3^{12}0} = \frac{3^6*3^8}{3^{12}} = \frac{3^{14}}{3^{12}} = 3^2 = 9$