Ответ:
1) 3;
2) 3/16;
3) 3/4.
Пошаговое объяснение:
1) (3^10•27^3)/9^9 = (3^10•(3^3)^3)/(3^2)^9 = (3^10•3^9)/3^18 = 3^19/3^18 = 3.
2) (5 1/3)^7•(3/16)^8 = (16/3)^7•(3/16)^7•3/16 = (16/3•3/16)^7•3/16 = 1^7 • 3/16 = 1 • 3/16 = 3/16.
3) (3^15•4^13)/144^7 = (3^13•3^2•4^13)/(12^2)^7 = 3^2•(3^13•4^13)/(12)^14 = 3^2•(12^13)/(12)^14 = 9/12 = 3/4.
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Answers & Comments
Ответ:
1) 3;
2) 3/16;
3) 3/4.
Пошаговое объяснение:
1) (3^10•27^3)/9^9 = (3^10•(3^3)^3)/(3^2)^9 = (3^10•3^9)/3^18 = 3^19/3^18 = 3.
2) (5 1/3)^7•(3/16)^8 = (16/3)^7•(3/16)^7•3/16 = (16/3•3/16)^7•3/16 = 1^7 • 3/16 = 1 • 3/16 = 3/16.
3) (3^15•4^13)/144^7 = (3^13•3^2•4^13)/(12^2)^7 = 3^2•(3^13•4^13)/(12)^14 = 3^2•(12^13)/(12)^14 = 9/12 = 3/4.