Вправи: 356

356. Запишіть як степінь з основою 2:

1) 8^–5 • 4⁷ = (2³)^–5 • (2²)⁷ = 2^–15 • 2¹⁴ = 2^–1;

2) 64⁵ • 16^–2 = (2⁶)⁵ • (2⁴)^–2 = 2³⁰ • 2^–8 = 2²²;

3) (2^–5)³ • (4²)^–3 = 2^–15 • 4^–6 = 2^–15 • (2²)^–6 = 2^–15 • 2^–12 = 2^–27;

4) (16⁵)⁹ • (8^–2)⁷ = 16⁴⁵ • 8^–14 = (2⁴)⁴⁵ • (2³)^–14 = 2¹⁸⁰ • 2^–42 = 2¹³⁸;

5) 0,5^–25 : (4^–1)³ = (12)^–25 : 4^–3 = 2²⁵ : (2²)^–3 = 2²⁵ : 2^–6 = 2³¹;

6) 0,25^–6 : 32³⁰ = (14)^–6 : (2⁵)³⁰ = 4⁶ : 2¹⁵⁰ = (2²)⁶ : 2¹⁵⁰ = 2¹² : 2¹⁵⁰ = 2^–138.