Academic Skills Advice
Indices Answers
Indices 1:
Answer/s
+1 or -1
+2 or –2
+3 or –3
Reason
1x1=1 AND -1x-1=1
2x2=4 AND -2x-2=4
3x3=9 AND -3x-3=9
42
52
62
72
82
92
102
4x4
5x5
6x6
7x7
8x8
9x9
10 x 10
16
25
36
49
64
81
100
+4 or –4
+5 or –5
+6 or –6
+7 or –7
+8 or –8
+9 or –9
+10 or –10
4x4=16
5x5=25
6x6=36
7x7=49
8x8=64
9x9=81
13
23
1x1x1
2x2x2
1
8
1
2
1x1x1 = 1
2x2x2 = 8
33
3x3x3
27
3
3x3x3 = 27
43
53
63
73
83
93
103
4x4x4
5x5x5
6x6x6
7x7x7
8x8x8
9x9x9
10 x 10 x 10
64
125
216
343
512
729
1000
4
5
6
7
8
9
10
4x4x4 = 64
5x5x5 = 125
6x6x6 = 216
7x7x7 = 343
8x8x8 = 512
9x9x9 = 729
10x10x10 = 1000
THEREFORE
THEREFORE
1) Complete all the blank spaces in the table:
No.
Meaning
Answer
12
1x1
1
1
2
2
2x2
4
4
2
3
3x3
9
9
√16
√25
√36
√49
√64
√81
√100
3
1
3
8
3
27
3
√64
3
√125
3
√216
3
√343
3
√512
3
√729
3
√1000
AND -4x-4=16
AND -5x-5=25
AND -6x-6=36
AND -7x-7=49
AND -8x-8=64
AND -9x-9=81
10x10=100 AND -10x-10=100
2) 72 means 7 x 7 = 49
3) √9 means which number when you times it by itself gives 9.
Answer = 3 because 3 x 3 = 9 or -3 because -3 x -3 = 9.
4) 5
5)
32
1000,000,000
2
© H Jackson 2008 / Academic Skills
729
243
2
256
1296
10
256
3
2
78125
3
5
1
Indices 2:
Simplify:
𝑥7
6𝑥 9
2𝑏 2
3𝑏 6
3𝑝
25𝑝6
64𝑝15
1
7
𝑏5
𝑥4
3
2
Evaluate:
3
1
1
16
6
1
1
25
16
1
1
−32
9
or
−
1
32
128
Challenges:
133
13
9
512
16
729
© H Jackson 2008 / Academic Skills
2