问题1.查找以下项的值:
(i)64 1/2
641/2
= (8 × 8)1/2
= (82)½
= 81
= 8
(ii)32 1/5
321/5
= (2 x 2 x 2 x 2 x 2)1/5
= (25)⅕
= 21
= 2
(iii)125 1/3
(125)1/3
= (5 × 5 × 5)1/3
= (53)⅓
= 51
= 5
问题2.找到以下项的值:
(i)9 3/2
93/2
= (3 × 3)3/2
= (32)3/2
= 33
= 27
(ii)32 2/5
322/5
= (2 × 2 × 2 × 2 × 2)2/5
= (25)2⁄5
= 22
= 4
(iii)16 3/4
163/4
= (2 × 2 × 2 × 2)3/4
= (24)3⁄4
= 23
= 8
(iv)125 -1/3
125-1/3
= (5 × 5 × 5)-1/3
= (53)-1⁄3
= 5-1
= 1/5
问题3.简化以下内容:
(i)2 2 /3 ×2 1/5
22/3 × 21/5
= 2(2/3) + (1/5) ⸪ As, am × an = am + n
= 213/15
(ii)(1/3 3 ) 7
(1/33)7
= (3-3)7 ⸪ As, (am)n = am x n
= 3-21
(iii)11 1/2 / 11 1/4
111/2/111/4
= 11(1/2) – (1/4) ⸪ As, am × a-n = am – n
= 111/4
(iv)7 1/2 ×8 1/2
71/2 × 81/2
= (7 × 8)1/2 ⸪ As, am × bm = (a × b)m
= 561/2