Question

Ayuda profaaa!

Reducir:

Answer 1

Respuesta:

Por reducción

A = 1

Explicación paso a paso:

A = (i²⁰ + i³² + i¹⁰⁰) / (i⁶⁰ + i⁸⁰ + i¹⁰²⁴)

A = i²⁰(1 + i¹² + i⁸⁰) / i²⁰(i⁴⁰ + i⁶⁰ + i¹⁰⁰⁴)

A = (1 + i¹² + i⁸⁰) / (i⁴⁰ + i⁶⁰ + i¹⁰⁰⁴)

Por definción i² = (-1)

A = (1 + (i²)⁶ + (i²)⁴⁰) / ((i²)²⁰ + (i²)³⁰ + (i²)⁵⁰²)

A = (1 + (-1)⁶ + (-1)⁴⁰) / ((-1)²⁰ + (-1)³⁰ + (-1)⁵⁰²)

A = (1 + 1 + 1) / (1 + 1 + 1)

A = 3 / 3

A = 1