Find the values of r ^ ( ) = ( ).

2006-11-18 8:11 am
What is the values of r in the following questions?

(a) r ^ 1 = 56
(b) r ^ 2 = 81
(c) r ^ 3 = 27
(d) r ^ 4 = 4096
(c) r ^ 5 = 243
(d) r ^ 6 = 729
(e) r ^ 7 = 78125
(f) r ^ 8 = 65536
(g) r ^ 9 = 512
(h) r ^ 10 = 1024

回答 (2)

2006-11-18 8:22 am
✔ 最佳答案
a) 56
b) 9
c) 2
d) 8
c) 3
d) 3
e) 5
f) 4
g) 2
h) 2
2006-11-18 10:04 am
如果不能用計算機計算,可以用質因數分解法
(a) r = 56
(b) r ^2 = 3 x 3x 3x 3=9*9 ==> r = 9
(c) r^3 = 3x3x3==> r = 3
(d) r^4 = 2x2 ....12個 ...x2=(2x2x2)x(2x2x2)x(2x2x2)x(2x2x2)=8x8x8x8==>r=8
(e) r^5 = 3x3x3x3x3==>r=3
(f) r^8 = 2x2 ....16個 ...x2=(2x2)x(2x2)x(2x2)x(2x2)x(2x2)x(2x2)x(2x2)x(2x2)=4x4x4x4x4x4x4x4==>r=4
(g) r^9 = 2x2x2x2x2x2x2x2x2==>r=2
(h) r^10 = 2x2x2x2x2x2x2x2x2x2==>r=2

2006-11-18 02:07:41 補充:
(d)r^6=3x3x3x3x3x3== r=3(e)r^7=5x5x5x5x5x5x5== r=5


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