化簡下列題目並用指數記數法表示答案
1.
(a^3)^5
_______
a^-6
2.
(x^3y)^2
_______
y^5
3. 解方程a^x+1=8
4.
(ab^2)^2
________
a5
5.
m^3
___
(mn)^2
6.
(a^-3)
_____
a
以指數記數法表示答案
2010-01-20 11:52 pm
回答 (2)
2010-01-22 7:58 pm
✔ 最佳答案
1. (a^3)^5/a^-6= a^15/a^-6
= a^15 x a^6
= a^15+6
= a^21
2. (x^3y)^2/y^5
= x^6y/y^5
3. a^x+1=8
a^x=8-1
a^x=7
a=7, x=1
4. (ab^2)^2/a^5
= a^2 b^4/a^5
= a^-3*b^4
5. m^3/(mn)^2
= m^3/m^2*n^2
= m^3-2/n^2
= m^1/n^2
= m/n^2
6. (a^-3)/a
= 1/a^4
參考: Myself
2010-01-21 6:06 am
1. (a^3)^5/a^-6
= a^15/a^-6
= a^15+(-6)
= a^15-6
= a^9
2. (x^3y)^2/y^5
= x^6y/y^5
3. a^x+1=8
a^x=8-1
a^x=7
a=7, x=1
4. (ab^2)^2/a^5
= a^2b^4/a^5
= a^2/a^5*b^4/a^5
= a^2-5*b^4/a^5
= a^-3*b^4/a^5
5. m^3/(mn)^2
= m^3/m^2*n^2
= m^3-2/n^2
= m^1/n^2
= m/n^2
6. (a^-3)/a
= a^(-3)-1
= a^-4
= a^15/a^-6
= a^15+(-6)
= a^15-6
= a^9
2. (x^3y)^2/y^5
= x^6y/y^5
3. a^x+1=8
a^x=8-1
a^x=7
a=7, x=1
4. (ab^2)^2/a^5
= a^2b^4/a^5
= a^2/a^5*b^4/a^5
= a^2-5*b^4/a^5
= a^-3*b^4/a^5
5. m^3/(mn)^2
= m^3/m^2*n^2
= m^3-2/n^2
= m^1/n^2
= m/n^2
6. (a^-3)/a
= a^(-3)-1
= a^-4
收錄日期: 2021-04-13 17:03:29
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20100120000051KK00886