Exercise 1

Calculate:

1
3³ · 34 · 3 =

2
57 : 5³ =

3
(5³)4 =

4
(5 · 2 · 3)4 =

5
(34)4 =

6
[(5³)4 ]² =

7
(8²)³

8
(9³)²

9
25 · 24 · 2 =

10 27 : 26 =

11
(2²)4 =

12
(4 · 2 · 3)4 =

2 (−8) · (−2)² · (−2)0 (−2) =

13(25)4 =

1 (−2)² · (−2)³ · (−2)4 =

14
[(2³)4]0=

15
(27²)5=

16
(4³)² =

Exercise 2

Calculate:

3
(−2)−2 · (−2)³ · (−2)4 =

4
2−2 · 2−3 · 24 =

5
2² : 2³ =

6
2−2 : 2³ =

7
2² : 2−3 =

8
2−2 : 2−3 = 2

9
[(−2)− 2] 3 · (−2)³ · (−2)4 =

5 5² : 5³ =

10
[(−2)6 : (−2)³]³ · (−2) · (−2)−4 =

Exercise 3

Calculate:

1(−3)1 · (−3)³ · (−3)4 =

2
(−27) · (−3) · (−3)² · (−3)0=

3
(−3)² · (−3)³ · (−3)−4 =

4
3−2 · 3−4 · 34 =

6
5−2 : 5³ =

7
5 ² : 5 −3 =

8
5−2 : 5−3 =

9
(−3)1 · [(−3)³]² · (−3)−4 =

10
[(−3)6 : (−3)³] 3 · (−3)0 · (−3)−4 =

Exercise 4

Calculate:

1

2

3

4

5

6

7

8

9

10

11

12

13

Exercise 5

Calculate:

Exercise 6

Calculate:

Exercise 7

Calculate:

1

2

3

4

Solution of exercise 1

Calculate:

1
3³ · 34 · 3 = 38

2
57 : 5³ = 54

3
(5³)4 = 512

4
(5 · 2 · 3) 4 = 304

5(34)4 = 316

6
[(5³)4]² = (512)² = 524

7
(8²)³ =[( 2³)²]³ = (26)³ = 218

8
(9³)² = [(3²)³]² = (36)² = 312

9
25 · 24 · 2 = 210

10 27 : 26 = 2

11
(2²)4 = 28

12
(4 · 2 · 3)4 = 244

13(25)4 = 220

14
[(2³)4]0 = (212)0 = 20 = 1

15
(27²)5 =[(3³)²]5 = (36)5 = 330

16
(4³)² = [(2²)³]² = (26)² = 212

Solution of exercise 2

Calculate:

1

(−2)² · (−2)³ · (−2)4 = (−2)9 = −512

2
(−8) · (−2)² · (−2)0 (−2) =

= (−2)³ · (−2)² · (−2)0 · (−2) = (−2)6 = 64

3
(−2)−2 · (−2)³ · (−2)4 = (−2)5 = −32

4
2−2 · 2−3 · 24 = 2−1 = 1/2

5
2² : 2³ = 2−1 = 1/2

6
2−2 : 2³ = 2−5 = (1/2)5 = 1/32

7
2² : 2−3 = 25 = 32

8
2−2 : 2−3 = 2

9
[( −2 )− 2] 3 · (−2)³ · (−2)4 =

= (−2)−6 · (−2)³ · (−2)4 = −2

10
[(−2) 6 : (−2)³] 3 · (−2)· (−2)−4 =

[(−2)³] 3 · (−2)· (−2)−4 =

= (−2)9 · (−2) · (−2)−4 = (−2)6 = 64

Solution of exercise 3

Calculate:

1
(−3)1 · (−3)³ · (−3)4 = (−3)8 = 6561

2
(−27) · (−3) · (−3)² · (−3)0=

(−3)³ · (−3) · (−3)² · (−3)0 = (−3)6 = 729

3
(−3)² · (−3)³ · (−3)−4 = −3

4
3−2 · 3−4 · 34 = 3−2 = (1/3)² = 1/9

5
5² : 5³ = 5−1 = 1/5

6
5−2 : 5³ = 5−5 = (1/5)5 = 1/3125

7
5² : 5−3 = 55 = 3125

8
5−2 : 5−3 = 5

9
(−3)1 · [(−3)³]² · (−3)−4 =

(−3)1 · (−3)6· (−3) = (−3)³

10
[(−3)6 : (−3)³]³ · (−3)0 · (−3)−4 =

[(−3)³]³ · (−3)0· (−3)−4 =

(−3)9 · (−3)0 · (−3)−4 = (−3)5 =−243

Solution of exercise 4

Calculate:

1

2

3

4

5

6

7

8

9

10

11

12

13

Solution of exercise 5

Calculate:

Solution of exercise 6

Calculate:

Solution of exercise 7

Calculate:

1

2

3

4

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Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.

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