Exponent problems 1. 𝑥 6 𝑥 7 = 𝑥13 2.

𝑦9 𝑦4

= 𝑦5

3. (3𝑦)2 = 9𝑦 2 4. 515 57 0 = 1 5.

𝑥 5 4

𝑥5

= 45

6. 𝑦10 20 = 𝑦 200 7. 𝑥12 ∙ 𝑥 3 ∙ 𝑥 2 = 𝑥17 8. 4𝑦 2 2 = 16𝑦 4 9. 10.

𝑥 14

4

𝑥 12 𝑥 5 𝑦 12 𝑦 9𝑥3 10

= 𝑥8

= 𝑥2 𝑦3

11. 𝑦 ÷ 𝑦 3 =𝑦 7 12. 𝑥 8 × 𝑦 8 = (𝑥𝑦)8 13. 𝑦 8 × 𝑦 6 × 𝑦 6 ÷ 𝑦 15 = 𝑦 5 14. 𝑥10 10 10 = 𝑥1000 15.

4 3 ×𝑦 3 23

= 8𝑦 3

1. 𝑎2 𝑎5 = 𝑎7 2.

𝑏7 𝑏4

= 𝑏3

3. (2𝑎)2 = 4𝑎2 4. 23 𝑏 7 0 = 1 5.

3 4 𝑎

34

= 𝑎4

6. 𝑏 2 3 = 𝑏 6 7. 𝑎2 ∙ 𝑎4 ∙ 𝑎20 = 𝑎26 8. 3𝑏 2 2 = 9𝑏 4 9. 10.

𝑎 12 𝑎8 𝑎 5 𝑏 10 𝑎3𝑏8 6

2

= 𝑎8

= 𝑎2 𝑏 2

11. 𝑏 ÷ 𝑏 4 =𝑏 2 12. (2𝑎)5 × 35 = (6𝑎)5 13. 𝑏 4 × 𝑏 5 × 𝑏 6 ÷ 𝑏14 = 𝑏1 14. 𝑎4 5 2 = 𝑎40 15.

92 ×𝑎 2 32

= 9𝑎2

𝑥

13

1 𝑥

17

5 𝑦

9𝑦

5 𝑥

200 𝑦

5 4

16𝑦

2

4

𝑥

8

2 3 𝑥 𝑦

7 𝑦

8 (𝑥𝑦)

5 𝑦

1000 𝑥

4 8𝑦

9

𝑥 𝑥

𝑦 𝑦4

515 57

𝑥 4

6 7

𝑥

12

3

0

∙𝑥 ∙𝑥

2

5 12

𝑥 𝑦 𝑦9𝑥 3 8

6

4𝑦

(3𝑦)2 5

2 2

𝑦10 ÷ 𝑦 3 6

𝑦 ∙𝑦 ∙𝑦 15 ÷𝑦

𝑥

10 10 10

𝑦10

20

14 4

𝑥 𝑥 12

𝑥8 × 𝑦8 3

4 ×𝑦 23

3

𝑎

7

1 𝑎

26

2 2

𝑎 𝑏 𝑏

1

𝑏

3 4

3 4 𝑎 9𝑏

𝑏

6

𝑎

8

2

(6𝑎)

40

2

𝑏 𝑎

4

4𝑎

2

5

9𝑎

7

𝑏 𝑏4

2 5

𝑎 𝑎

3 𝑎

3 7 0

2 𝑏 2

4

𝑎 ∙𝑎 ∙𝑎

20

5 10

𝑎 𝑏 𝑎3 𝑏8 4

3𝑏 6

2

(2𝑎) 4

𝑏

2 2

𝑏 ÷𝑏

4

5

𝑏 ∙𝑏 6 ∙𝑏 14 ÷𝑏

𝑎

4 5 2

2 3

12 2

𝑎 𝑎8 5

5

(2𝑎) × 3 2

9 ×𝑎 32

2