Riñon

2.2)
1)
a) (-2/3)4 = (-2)4/(3)4 = 16/81
b) 2-3/3 -2 = 1/23/32 = 1/8/9/1 = 1/72
c) (-2)5 = ½5 =- 1/32
d) 2-1+1/3-1-1 = 31-1/21+1 = 2/3
e) 16(-3/2) =16-3 =1163 =14096 =164
f) (3/2)4-2-4 =(3/2)4(-1/2)4 =(3/2.- 1/2)4=-3/44=-81/256
g) (23 · 34)-2(1/(23 · 33))-3 =(8.81)-2(1/(8.27))-3=(1/648)2(1/(1/216))3=24
h) (4 · 52 ·6/53 · 62) (5 · 52 · 6/2 · 64) =(4.25.6/125.36)(5.25.6/2.1296)= (600/4500)(750/2592)= 25/648
i) (4 · 83/2) (2 · 81/2) =(323/2)(161/2)= 5123/2+1/2=5122
j) (-6 · 77/5) (2 ·78/5) =(-6577) 2578=-4116
k) (-8 · 103/9-6)2/3 =(-8000/531441)2/3=-400/6561
l) 9·5-4·76 =9·1625·117649 = 102925
m) 32 · 124 ·134 9 ·12 =31184481792108
n) 5·3·57 ·10·33·53 =1171875 33750
2)
a) (ar)2 ≠ ar2
b) axby= (ab)xy
c) n1c ≠ 1nc
d) a2+ b2 ≠ a+b
e) (a+b)2 = a2+ b2
f) (a+b)2 ≠ (a-b)2
g) a1/n ≠ 1anh) a+b = a+ b
i) an ≠ a2
j) (-4)10 = (4)10
3)
a) 12 = 22 =12 · 22 = 2(2)2 = 22
b) 3648 = 633 =3216·3=633
c) 3162 = 162
d) 638466 = 2
e) 3x2 y2xy= 31xy
f) 324 = 269
g) 432128 = 2
h) 233324 = 1
i) 5a3a2 =3a3
j) -4 = 4
k) 3-8 = 38
l) 3x2 = (3x2)
4)
a) 12x4(16x5)= 8x9
b) 16a5 -3a2(4a7)= 1/6.-3.4=-2=-2 a14
c) 3u7v3 (4u4v-5)= (3u10)(4u-1)= 12u9
d) 3x5y4x0y-32=(3x5y1)2=9x10y2
e) (2x2)34x4=8x6/4x4=2x10
f) 3y3(2y2)2(y4)3y0=(3y3)(4y4)/y12=12y7/y12=12/y5
g) 4a2ba3b25a2b2b4=20a4b2/2a3b6=10a/b4
h) 4a322a12=8a2
i) 3x568x23=24x3/2
j) (27a6)-2/3=1/27a4
k) 8x-23x1/6 =(8/x2/3)x1/6=8/x5/6
l)(x6y3)-1/3(x4y2)-1/2=(x4y2)1/2/(x6y3)1/3= X2y/x2y=1
m) 5xy7 10x3y3 =(51/2x1/2y7/2) (101/2x3/2y3/2)= 50x2y5
n) 58x3y4 54x4y2 =(81/5x3/5/y4/5)(41/5x4/5/y2/5)= 322/5x7/5/y6/5
o) 53x11y39x2 =