Вправа 401 - 500 » 456

456. Обчисліть значення виразу. а) 0,00812 • 0,3–10 = ((0,3)4)2 : 0,3–10 = 0,38 : 0,3–10 = 0,318; б) 125^5/(25^8• 5^(-2) ) = (5^15•5^2 )/5^16 = 5; в) (9^(-4)•27^2 )/(100^5• 10^(-12) ) = (3^(-8)•3^6 )/(10^10•10^(-12) ) = 3^(-2)/10^(-2) = 100/9 = 111/9. г) ((2/3)–2)5 : (2/3)–9 : 2/3 = (2/3)–10 : (2/3)–9 : 2/3 = (2/3)–1 : 2/3 = 3/2 • 3/2 = 9/4 = 21/4; ґ) (4/5 + 4–2 + 0,2 : 5–2)–1 = (4/5 + 1/16 + 1/5 • 25/1)–1 = (69/80 + 5)–1 = (569/80)–1 = 80/469.