Unit 2: Section 1 - Standard Form With Negative Indices Examples And Worksheets Page 6

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Exercise XX
Write these as a single power and then calculate the answer.
1 2
2
3 2
2
2 3
2
3 3
3
3 2 3 2 3 2 3 2 3 2
4 5 3 5 3 5 3 5
5 2
4
4 2
2
6 4
4
4 4
2
7 5
5
4 5
2
8 8
6
4 8
3
8
5
3
6
___
___
9
10
11 (2
2
)
5
12 (2
4
)
2
3
2
6
2
13 0.1 3 (0.1)
2
14 0.2 3 (0.2)
2
15 2.1
10
4 2.1
8
16 1.3
5
4 1.3
3
4
2
3 4
5
7
4
3 7
2
_______
_______
17
18
19 20
2
2
20 30
2
2
3 20
3 30
4
3
7
3
Exercise XX*
For Questions 1–16, write as a single power and then calculate the answer.
1 8
4
3 8
5
4 8
6
2 9
4
3 9
5
4 9
6
3 (7
2
)
3
4 7
3
4 (4
2
)
4
4 4
4
5 5
5
4 25
6 4
6
4 64
7 216 4 6
2
8 2
10
4 512
9 125
2
3
10 100
3
5
11 (10
3
3
12 (2
5
3
3
4 5
4 10
)
4 1000
)
4 4
125
3
64
2
_____
________
13 8
4
4 4
6
14 27
3
4 9
4
15
16
3
5
2
25
2 3 (2
)
17 Given that 2
20
5 1 048 576, calculate 2
21
and 2
19
.
18 Which is larger, 8
10
or 4
14
?
19 Which is larger, 3
27
or 9
13
?
20 A large sheet of paper is 0.1 mm thick. It is cut in half, and one piece is placed on top of the
other. These two pieces are then cut in half a second time to make the pile four sheets thick.
Copy and complete this table.
No. of times done
No. of sheets in pile
Height of pile mm
2
4
0.4
3
5
10
50
How many times would you have to do this for the pile to reach the Moon, approximately
3.84 3 10
5
km away?
15

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