# Exponents Worksheets

### Solutions

1Calculate:

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 =

2Calculate:

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 =

3Calculate:

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 =

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## 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

## 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

## 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

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Calculate:

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