ГДЗ Математика 7 клас Істер (2024)

Обчисліть: 1) (7^9 • 49^8)/343^8 = (7^9 • (7^2 )^8 )/((7^3 )^8 ) = (7^9 • 7^16)/7^24 = 7; 2) 6^12/(2^10 • 3^11 ) = 〖(2 •3)〗^12/(2^10 • 3^11 ) = (2^12 • 3^12)/(2^10 • 3^11 ) = 22 ∙ 3 = 12; 3) (2^8 • 5^7)/(100^3 ) = (2^8 • 5^7)/(〖((2 •5)〗^2 )^3 ) = (2^8 • 5^7)/(2^6 • 5^6 ) = 22 ∙ 5 = 20; 4) 36^5/( 24^6 ) = 〖(9 •4)〗^5/〖(3 •8)〗^6 = (〖(3〗^2 • 2^2 )^5)/(〖(3 •2〗^3 )^6 ) = (3^10 • 2^10)/(3^6 • 2^18 ) = (3^4 )/2^8 = 81/256.