Exercise 1

Calculate:

1  27 : 26 =

2 57 : 5³ =

3 25 · 24 · 2 =

4 3³ · 34 · 3 =

5 (5 · 2 · 3)4 =

Superprof

Exercise 2

Calculate:

1 
(5³)4 =

2 (34)4 =

3 
(2²)4 =

4 (25)4 =

Exercise 3

Calculate:

1 
[(5³)4]² = (512)² =

2 
(8²)³ =[( 2³)²]³ = (26)³ =

3 
(9³)² = [(3²)³]² = (36)² =

4 [(2³)4]0 = (212)0 = 20 =

5 (27²)5 =[(3³)²]5 = (36)5 =

6 (4³)² = [(2²)³]² = (26)² =

7 (4 · 2 · 3)4 =

Exercise 4

Calculate:

1 (−2)² · (−2)³ · (−2)4 = (−2)9 =

2 
(−2)−2 · (−2)³ · (−2)4 = (−2)5 =

3 
2−2 · 2−3 · 24 = 2−1 =

4 
2² : 2³ = 2−1 =

5 
2−2 : 2³ = 2−5 = (1/2)5 =

6  2² : 2−3 = 25 =

7 
2−2 : 2−3 =

Exercise 5

Calculate:

 

Exercise 6

Calculate:

1 

2 

3 

4 

Solution of exercise 1

Calculate:

1  27 : 26 = 2

2 57 : 5³ = 54

3 25 · 24 · 2 = 210

4 3³ · 34 · 3 = 38

5 (5 · 2 · 3)4 = 304

Solution of exercise 2

Calculate:

1 
(5³)4 = 512

2 (34)4 = 316

3 
(2²)4 = 28

4 (25)4 = 220

Solution of exercise 3

Calculate:

1 
[(5³)4]² = (512)² = 524

2 
(8²)³ =[( 2³)²]³ = (26)³ = 218

3 
(9³)² = [(3²)³]² = (36)² = 312

4 [(2³)4]0 = (212)0 = 20 = 1

5 (27²)5 =[(3³)²]5 = (36)5 = 330

6 (4³)² = [(2²)³]² = (26)² = 212

7 (4 · 2 · 3)4 = 244

Solution of exercise 4

Calculate:

1 (−2)² · (−2)³ · (−2)4 = (−2)9 = −512

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

3 
2−2 · 2−3 · 24 = 2−1 = 1/2

4 
2² : 2³ = 2−1 = 1/2

5 
2−2 : 2³ = 2−5 = (1/2)5 = 1/32

6  2² : 2−3 = 25 = 32

7 
2−2 : 2−3 = 2

Solution of exercise 5

Calculate:

 

 

 

 

 

Solution of exercise 6

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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