Question

обчисли значення виразу. a) 5^8/5^4 5^2 б) 15^6/5^6 * 3^5 в) 10^22 * 2^20/ 20^20 г) 18^5 / 2 * 6^4 * 3^6

Answer 1

Ответ:

a) 5^8/5^4 * 5^2 = 5^(8-4+2) = 5^6

b) 15^6/5^6 * 3^5 = (3*5)^6/5^6 * 3^5 = 3^6/3^5 = 3^(6-5) = 3^1 = 3

c) 10^22 * 2^20/20^20 = (10^22 * 2^20)/(10^20 * 2^20) = 10^(22-20) = 10^2 = 100

d) 18^5 / 2 * 6^4 * 3^6 = (2^1 * 3^2)^5 / 2 * (2^1 * 3^1)^4 * 3^6 = 2^5 * 3^10 / 2 * 3^4 * 3^6 = 2^5 * 3^(10-4+6) = 2^5 * 3^12