(1 3/4)³ · (1/7)³ = (1/4)³
1 способ.
(1 3/4)³ · (1/7)³ = (7/4)³ · (1/7)³ = (7/4 · 1/7)³ = (1/4)³
2 способ.
1) (1 3/4)³ = (7/4)³ = 7/4 · 7/4 · 7/4 = 343/64
2) (1/7)³ = 1/7 · 1/7 · 1/7 = 1/343
3) 343/64 · 1/343 = 1/64 = (1/4)³
Ответ: (1/4)³.
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Verified answer
(1 3/4)³ · (1/7)³ = (1/4)³
1 способ.
(1 3/4)³ · (1/7)³ = (7/4)³ · (1/7)³ = (7/4 · 1/7)³ = (1/4)³
2 способ.
1) (1 3/4)³ = (7/4)³ = 7/4 · 7/4 · 7/4 = 343/64
2) (1/7)³ = 1/7 · 1/7 · 1/7 = 1/343
3) 343/64 · 1/343 = 1/64 = (1/4)³
Ответ: (1/4)³.