# Exponents Worksheet

### Solutions

1Calculate:

1  27 : 26 =

2 57 : 5³ =

3 25 · 24 · 2 =

4 3³ · 34 · 3 =

5 (5 · 2 · 3)4 =

2Calculate:

1  (5³)4 =

2 (34)4 =

3  (2²)4 =

4 (25)4 =

3Calculate:

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 =

4Calculate:

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 =

5Calculate:

6Calculate:

1

2

3

4

## 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

Calculate:

1  (5³)4 = 512

2 (34)4 = 316

3  (2²)4 = 28

4 (25)4 = 220

## 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

## 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

Calculate:

Calculate:

1

2

3

4