幾題數學(10分)

2006-10-22 9:53 pm
1.
a^3a^-2
-------------
a^-1

2.
3^-1y^ -3.y
------------------
(3y)^2

3.
(a^ -1 b^ -2 )^-1
--------------------
b^2

4.
(a^ -1 b^ -2 c^3)^ -1

回答 (2)

2006-10-22 11:18 pm
✔ 最佳答案
1. (a^3)(a^-2) / a^-1

= a^[3 + (-2) - (-1)]

= a^[3 - 2 + 2]

= a³



2. 3^-1 y^3(y) / (3y)²

= y^(3 + 1)/3 / 9y²

= y^4 / 3 / 9y²

= (y^4)(9y²) / 3

= 9y^6 / 3

= 3y^6

3. (a^-1 b^-2)^-1 / b²

= a^(-1)(-1) b^(-2)(-1) / b²

= ab²/b²

= a

4. (a^-1 b^-2 c^-3)^-1

= a^(-1)(- 1) b^(-2)( -1) c (-3)(-1)

= ab²c³


希望幫到你!!!!!! 求選我最佳答案 !!!!!!!
參考: me
2006-10-22 10:30 pm
1. (a^3)(a^-2) / a^-1
= a^[3 + (-2) - (-1)]
= a^[3 - 2 + 2]
= a³

2. 3^-1 y^3(y) / (3y)²
= y^(3 + 1)/3 / 9y²
= y^4 / 3 / 9y²
= (y^4)(9y²) / 3
= 9y^6 / 3
= 3y^6
3. (a^-1 b^-2)^-1 / b²
= a^(-1)(-1) b^(-2)(-1) / b²
= ab²/b²
= a
4. (a^-1 b^-2 c^-3)^-1
= a^(-1)(- 1) b^(-2)( -1) c (-3)(-1)
= ab²c³
參考: me


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