3. Aplica las propiedades de la potenciación de números enteros para simplificar cada una de las siguientes expresiones.

Mathematics

1 answer:

max2010maxim [7]2 years ago

5 0

Answer:

Step-by-step explanation:

a) (2³ · 2⁴)⁵ · (2⁷ · 2¹ · 2²)⁰ / (2³ · 2²) = (2⁷)⁵ · 1 / 2⁵ = 2³⁵ / 2⁵ = 2⁷

b) (((-6)²· (-6)⁴)³ / ((-2)² · 3²) · (-6)⁰ = ((6²· 6⁴)³ / (2²· 3²) 1 = (6⁶)³ / 6² = 6¹⁸ / 6² = 6¹⁶

c) (√81 / √9) · (3² / 3²) / 3² = (9 / 3) · 3²⁻² / 3² = 3 · 3⁰ / 3² = 3¹ / 3² = 1 / 3 = 3⁻¹

D) (√2 ·√3 ·√20) / √√625 = √6 · √20 / √25 = √6 · √5 · √4 / 5 = (2/5) √30

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