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 =

4Calculate:

1operaciones

2operaciones

3operaciones

4operaciones

5operaciones

6operaciones

7operaciones

8operaciones

9operaciones

10operaciones

11operaciones

12operaciones

13operaciones

5Calculate:

operaciones

6Calculate:

operaciones

7Calculate:

1 potencia

2potencia

3potencia

4potencia


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


4

Calculate:

1 operaciones

solución

2 operaciones

solución

3 operaciones

solución

4 operaciones

solución

5 operaciones

solución

6 operaciones

solución

7 operaciones

solución

8 operaciones

solución

9 operaciones

solución

10 operaciones

solución

11 operaciones

solución

12 operaciones

solución

13 operaciones

solución

solución


5

Calculate:

operaciones

operaciones

operaciones

operaciones

operaciones


6

Calculate:

solución

solución

solución

solución

solución

solución

solución


7

Calculate:

1 potencia

potencias

2potencia

potencias

3potencia

potencias

4potencia

potencias