Evaluate, if possible.
Please show all clear steps.
1) (81^-1)^-1/4
2) (343a^12b^-9)^1/3
3) (a^-4b^10)^-1/2
Thanks
Rational Exponents
2012-12-16 11:32 pm
回答 (1)
2012-12-17 1:30 am
✔ 最佳答案
1)[81^(-1)]^(-1/4)
= [(3^4)^(-1)]^(-1/4)
= 3^[4(-1)(-1/4)]
= 3^1
= 3
2)
[343a^(12)b^(-9)]^(1/3)
= [(7^3)a^(12)b^(-9)]^(1/3)
= 7^(3/3)a^(12/3)b^(-9/3)
= 7(a^4)b^(-3)
3)
[a^(-4)b^(10)]^(-1/2)
= a^[(-4)(-1/2)]b^[(10)(-1/2)]
= (a^2)b^(-5)
= (a^2)/(b^5)
參考: Myself
收錄日期: 2021-04-13 19:11:30
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20121216000051KK00175