2^8 * 10^10 * 50^5 \ (80 + 20)^10

Question

2^8 * 10^10 * 50^5 \ (80 + 20)^10

Answer 1

1) 2^8 • 10^10 • 50^5 = 2^8 • 2^10 • 5^10 • 2^5 • 5^10 = 2^23 • 5^20
2) ( 80 + 20 )^10 = 100^10 = ( 2•50 )^10 = ( 2^2 • 5^2 )^10 = 2^20 • 5^20
3) 2^23 : 2^20 = 2^3 = 8
4) 5^20 : 5^20 = 1
5) 8 • 1 = 8
Ответ 8