rational exponents
simplify and express the answers with positive indices.
1. √(a^3√b)÷[∛(b^(-1)√a^3)]
maths questions?
2016-09-21 11:01 am
回答 (1)
2016-09-21 11:12 am
Sol
[a^3*b^(1/2)]^(1/2)/[b^(－1/3)*a^(3/2)]
=a^(3/2)*b^(1/4)/[b^(－1/3)*a^(3/2)]
=a^(3/2－3/2)*b^(1/4+1/3)
=b^(7/12)
[a^3*b^(1/2)]^(1/2)/[b^(－1/3)*a^(3/2)]
=a^(3/2)*b^(1/4)/[b^(－1/3)*a^(3/2)]
=a^(3/2－3/2)*b^(1/4+1/3)
=b^(7/12)
收錄日期: 2021-04-30 22:00:57
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20160921030136AA4VhHD