利用指數記數法寫出下列各數的質因子連乘式:

2006-10-22 10:41 pm
a)180 b)175 c)500 d)210

回答 (7)

2006-10-22 10:48 pm
✔ 最佳答案
(a) 180 = 2 x 2 x 3 x 3 x 5 = 2² x 3² x 5
(b) 175 = 5 x 5 x 7 = 5² x 7
(c) 500 = 2 x 2 x 5 x 5 x 5 = 2² x 5³
(d) 210 = 2 x 3 x 5 x 7
參考: me~~
2006-10-22 11:50 pm
(a) 180
= 2 x 2 x 3 x 3 x 5 = 2^2x 3^2x 5

(b) 175
= 5 x 5 x 7 = 5^2 x 7

(c) 500
= 2 x 2 x 5 x 5 x 5 = 2^2x 5^3

(d) 210
= 2 x 3 x 5 x 7
參考: 我自己
2006-10-22 11:07 pm
a)2x2x5x3x3

b)5x5x7

c)5x5x5x2x2

d)7x2x5x3
參考: 自已
2006-10-22 10:49 pm
a)
180 = 2^2 * 3^2 * 5

b)
175 = 5^2 * 7

c)
500 = 2^2 * 5^3

d)
210 = 2 * 3 * 5 * 7
2006-10-22 10:48 pm
a)180
2的2次方×3的2次方×5

b)175 .
5的2次方×7

c)500
2的2次方+5的3次方

d)210

2×3×5×7

2006-10-22 14:51:07 補充:
a)180=2×2×3×3×5=2^2×3^2×5b)175 =5×5×7=5^2×7c)500 =2×2×5×5×5=2^2×5^3d)210 =2×3×5×7
2006-10-22 10:46 pm
a)
180
=2x2x3x3x5
=2^2 x 3^2 x 5
b)
175
=5x37
c)
500
=2x2x5x5x5
=2^2 x 5^3
d)
210
=2x3x5x7

2006-10-22 14:55:02 補充:
b)175=5x5x7=5^2 x 7
2006-10-22 10:46 pm
a) 2x2x3x3x5
b) 2x2x5x5x5
c) 2x3x5x7


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