Potencias

Ejercicio 1

1 Escribe en forma de una sola potencia:

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 =524

7. (82)3 = 86

8. (93)2 = 96

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= 1

15. (272)5= 2710

16. (43)2 = 46

2 Realizar las siguientes operaciones con potencias:

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 = 0.5

5. 22 : 23 = 2-1 = 1/2 = 0.5

6. 2−2 : 23 = 2-5 = 1/25= 0.03125

7. 22 : 2−3 = 25 = 32

8. 2−2 : 2−3 = 2 Estaba Resuelto

9. [(−2)− 2] 3 • (−2)3 • (−2)4 = (−2)−6 • (−2)3 • (−2)4 = (−2) = -2

10. [(−2)6 :(−2)3 ]3 • (−2) • (−2)−4 =[ (−2)3 ]3 • (−2)−3 = (−2)9 • (−2)−3 =(−2)6 =64

3 Realizar las siguientes operaciones con potencias:

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) = -3

4. 3−2 • 3−4 • 34 = 3−2 = 1/32 = 0.11111…

5. 52 : 53 = 5-1 =1/5 = 0.2

6. 5−2 : 53 = 5

7. 5 2 : 5 −3 = 55 = 25

8. 5−2 : 5−3 = 5

9. (−3)1 • [(−3)3]2 • (−3)−4 = (−3)1 • (−3)6 • (−3)−4 = (−3)3 = -27

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