Simplify: (64)^1/4 * (16)^1/3 answer in exponent form?

2009-01-05 10:20 am

回答 (6)

2009-01-05 10:25 am
✔ 最佳答案
(64)^(1/4) * 16^(1/3)
= (2^6)^(1/4) * (2^4)^(1/3)
= 2^(6/4) * 2^(4 * 1/3)
= 2^(3/2) * 2^(4/3)
= 2^(3/2 + 4/3)
= 2^(9/6 + 8/6)
= 2^(17/6)
2009-01-05 6:28 pm
4^(3/4) 4^(2/3)
4^(17/12)
2^(34/12)
2^(17/6)
2009-01-05 6:31 pm
(64)^1/4 * (16)^1/3

=(2^6)^1/4 * (2^4)^1/3
= 2^(3/2) * 2^(4/3)
= 2^(3/2 + 4/3)
= 2^(17/6)
2009-01-05 6:27 pm
64^(1/4) * 16^(1/3)
2^(6/4) * 2^(4/3)
2^(30/12)
2^(5/2)
32^(1/2)
2009-01-05 6:25 pm
(2^6)^(1/4) *(2^4)^(1/3) = 2^(17/6)
2009-01-05 6:25 pm
(64)^1/4 * (16)^1/3 =
(2^6) ^ 1/4 * (2^4)^ 1/3 =
2 ^(6/4+4/3) =
2 ^ 13/6


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