Пошаговое объяснение:
№1
(1/4)² = 1²/4² = 1/16
(3/8)² = 3²/8² = 9/64
(5/6)² = 5²/6² = 25/36
(2/7)² = 2²/7² = 4/49
(1 1/2)² = (3/2)² = 3²/2² = 9/4 = 2 1/4
(4 1/9)² = (37/9)² = 37²/9² = 1369/81 = 16 73/81
(6 2/3)² = (20/3)² = 20²/3² = 400/9 = 44 4/9
№2
(1/2)³ = 1³/2³ = 1/8
(2/3)³ = 2³/3³ = 8/27
(1/5)³ = 1³/5³ = 1/125
(4/9)³ = 4³/9³ = 64/729
(1 1/3)³ = (4/3)³ = 4³/3³ = 64/27 = 2 10/27
(2 1/4)³ = (9/4)³ = 9³/4³ = 729/64 = 11 25/64
(3 1/2)³ = (7/2)³ = 7³/2³ = 343/8 = 42 7/8
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Verified answer
Пошаговое объяснение:
№1
(1/4)² = 1²/4² = 1/16
(3/8)² = 3²/8² = 9/64
(5/6)² = 5²/6² = 25/36
(2/7)² = 2²/7² = 4/49
(1 1/2)² = (3/2)² = 3²/2² = 9/4 = 2 1/4
(4 1/9)² = (37/9)² = 37²/9² = 1369/81 = 16 73/81
(6 2/3)² = (20/3)² = 20²/3² = 400/9 = 44 4/9
№2
(1/2)³ = 1³/2³ = 1/8
(2/3)³ = 2³/3³ = 8/27
(1/5)³ = 1³/5³ = 1/125
(4/9)³ = 4³/9³ = 64/729
(1 1/3)³ = (4/3)³ = 4³/3³ = 64/27 = 2 10/27
(2 1/4)³ = (9/4)³ = 9³/4³ = 729/64 = 11 25/64
(3 1/2)³ = (7/2)³ = 7³/2³ = 343/8 = 42 7/8