ГДЗ Алгебра 7 клас Мерзляк (2024)

Обчисліть: 1) 1005 : 10002 = (102)5 : (103)2 = 1010 : 106 = 104 = 10000; 2) (3^10 • (3^3 )^5)/((3^5 )^4 • 3) = (3^10 • 3^15)/(3^20 • 3) = 3^25/3^21 = 34 = 81; 3) (4^3 • 16^2)/2^12 = ((2^2 )^3 • (2^4 )^2)/2^12 = (2^6 • 2^8)/2^12 = 2^14/2^12 = 22 = 4; 4) 45^10/(5^8 • 3^19 ) = ((5 • 9)^10)/(5^8 • 3^19 ) = (5^10 • 9^10)/(5^8 • 3^19 ) = (5^2 • (3^2 )^10)/3^19 = (5^2 • 3^20)/3^19 = 25 ∙ 3 = 75.