Представьте произведение степеней в виде степени: 1) x3 x8 2) y10y5 3) b21b39 4) k23k18 5) a7a4a9 6) n6n3n2 7) c4c2c 8) pp8p11 9) 2 в 3 степени * 2 в седмой степени * 2

Воспользуемся свойством: произведение a в степени b и a в степени с равно a в степени b + c.

1) x³ ⋅ x⁸ = x³ ⁺ ⁸ = x¹¹;

2) y¹⁰ ⋅ y⁵ = y¹⁰ ⁺ ⁵ = y¹⁵;

3) b²¹ ⋅ b³⁹ = b²¹ ⁺ ³⁹ = b⁶⁰;

4) k²³ ⋅ k¹⁸ = k²³ ⁺ ¹⁸ = k⁴¹;

5) a⁷ ⋅ a⁴ ⋅ a⁹ = a⁷ ⁺ ⁴ ⁺ ⁹ = a²⁰;

6) n⁶ ⋅ n³ ⋅ n² = n⁶ ⁺ ³ ⁺ ² = n¹¹;

7) c⁴ ⋅ c² ⋅ c = c⁴ ⁺ ² ⁺ ¹ = c⁷;

8) p ⋅ p⁸ ⋅ p¹¹ = p¹ ⁺ ⁸ ⁺ ¹¹ = p²⁰;

9) 2³ ⋅ 2⁷ ⋅ 2 = 2³ ⁺ ⁷ ⁺ ¹ = 2¹⁰ = 1024.