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:

 Exponential Exercise

6Calculate:

1 Exponential Exercise

2 Exponential Exercise

3 Exponential Exercise

4 Exponential 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


2

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


5

Calculate:

 Exponential Exercise

 Exponential Operations

 Exponential Operations

 Exponential Operations

 Exponential Solution


6

Calculate:

1 Exponential Exercise

2 Exponential Exercise

3 Exponential Exercise

4 Exponential Exercise