Question

1.) 2²⁰¹⁹-2²⁰¹⁸-2²⁰¹⁷+2²⁰¹⁶= k.2²⁰¹⁶
Berapa k = ?

tolong buat dengan menggunakan bilangan berpangkat dan tolong caranya, ​

Answer 1

Jawaban:

1. 2²⁰¹⁹ = (2²)⁵⁰⁴ = (2²)⁵⁰³ x 2²

2. 2²⁰¹⁸ = (2²)⁵⁰⁴ = (2²)⁵⁰² x 2²

3. 2²⁰¹⁷ = (2²)⁵⁰⁴ = (2²)⁵⁰¹ x 2²

4. 2²⁰¹⁶ = (2²)⁵⁰⁴ = (2²)⁵⁰⁰ x 2²

Gabungkan

k = (2²)⁵⁰³ x 2² - (2²)⁵⁰² x 2² - (2²)⁵⁰¹ x 2² + (2²)⁵⁰⁰ x 2²

Sederhanakan

k = (2²)⁵⁰⁰ x 2² [(2²)³ - (2²)² - (2²)¹ + 1]

k = (2²)⁵⁰⁰ x 2² [8 - 4 - 2 + 1]

k = (2²)⁵⁰⁰ x 2² [3]

k = (2²)⁵⁰⁰ x 4 x 3

k = (2²)⁵⁰⁰ x 12

k = 2² × 12

k = 48