Odpowiedź:
a)
∛[(-2)³/125] = -2/5
b)
∛[(-2)^6/(-3)³] = 2²/(-3) = -4/3 = -1 1/3
c)
√(1 9/16) - ∛125/64 = √25/16 - 5/4 = 5/4 - 5/4 = 0
d)
(√121 - ∛125)/(√144 - ∛216) = (11 - 5)/(12 - 6) = 6/6 = 1
e)
∛4/∛15 * ∛10/9 = ∛40/135 = ∛8/27 = 2/3
f)
∛(2 1/2) * ∛1/20 = ∛5/2 * ∛1/20) = ∛(5/2 * 1/20) = ∛1/8 = 1/2
g)
∛0,8 : ∛(1 9/16) = ∛(0,8 : 25/16) = ∛(4/5 * 16/25) = ∛64/125 = 4/5
h)
∛5/6 : ∛1,44 = ∛5/6 : ∛144/100 = ∛(5/6 * 100/144) = ∛(5/3 * 50/144) =
= ∛(5/3 * 25/72) = ∛125/216 = 5/6
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Odpowiedź:
a)
∛[(-2)³/125] = -2/5
b)
∛[(-2)^6/(-3)³] = 2²/(-3) = -4/3 = -1 1/3
c)
√(1 9/16) - ∛125/64 = √25/16 - 5/4 = 5/4 - 5/4 = 0
d)
(√121 - ∛125)/(√144 - ∛216) = (11 - 5)/(12 - 6) = 6/6 = 1
e)
∛4/∛15 * ∛10/9 = ∛40/135 = ∛8/27 = 2/3
f)
∛(2 1/2) * ∛1/20 = ∛5/2 * ∛1/20) = ∛(5/2 * 1/20) = ∛1/8 = 1/2
g)
∛0,8 : ∛(1 9/16) = ∛(0,8 : 25/16) = ∛(4/5 * 16/25) = ∛64/125 = 4/5
h)
∛5/6 : ∛1,44 = ∛5/6 : ∛144/100 = ∛(5/6 * 100/144) = ∛(5/3 * 50/144) =
= ∛(5/3 * 25/72) = ∛125/216 = 5/6
Szczegółowe wyjaśnienie: