利用幂的运算性质计算(根号2×3根号2)的三次方-根号12÷3根号3

2024-11-27 06:51:55
推荐回答(2个)
回答(1):

(根号2×3根号2)的三次方-根号12÷3根号3
=6的3次方-(2/3)
=216-(2/3)
=646/3

回答(2):

2√×√(1.5 ^ 3)×√(12 ^ 6)(3)= 2√×√[(3/2)^ 3]×√[(3×2×2)^ 6](3)= 2×3 ^(1/2)×3 ^(3/2)×2 ^(-3 / 2)×3 ^(6/2)×2 ^(6/2)×2 ^(6/2) = 2 ^(1-3/2 6/2 6/2)×3 ^(1/2 3/2 6/2)= 2 ^(5 1/2)×3 ^ 4 = 32 √(2)×81 = 2592√(2)