Exponents and Powers Worksheet-2

Exponents and Powers Worksheet-2

1. Evaluate: 5⁴

(a) 20                 (b) 625               (c) 125                (d) 175

2. Identify base and exponent in the following expression : 6³

(a) Base: 6, Exponent: 6             (b) Base: 6, Exponent: 12

(c) Base: 3, Exponent: 6             (d) Base: 6, Exponent: 3

3. When you are multiplying terms with the same base you _____ the exponents.

(a) subtract       (b) multiply       (c) add                (d) divide

4. Which option shows 7 × 7 × 7 × 7 × 7?

(a) 5⁷                   (b) 5⋅ 7⁵             (c) 7⁷                   (d) 7⁵

5. Write the following number sentence using exponents.

4⋅b⋅a⋅4⋅4⋅a⋅b⋅a

(a) 3⁴a³b²           (b) 4³a²b²          (c) 4³a³b²           (d) 3³a³b²

6. Evaluate: 7⁰

(a) 1                     (b) 7                    (c) 0                    (d) 70

7. Simplify: 3³ + 4³

(a) 27                  (b) 91                  (c) 16, 807         (d) 343

8. Identify the numerical coefficient in the following expression.

5y³

(a) 3                    (b) y                    (c) 5y                  (d) 5

9. Evaluate: r³ × 4²

(a) r⁶                   (b) r¹                  (c) r⁵                   (d) r³

10. Identify coefficient, base and exponent : 6y⁵

(a) Coefficient: 6, Base: y, Exponent: 5

(b) Coefficient: 5, Base: y, Exponent: 6

(c) Coefficient: 6y, Base: 6, Exponent: 6

(d) Coefficient: 6, Base: 5y, Exponent: 6

11. Find the value –y⁴ for y = 3

(a) –81               (b) 27                  (c) 81                  (d) –12

12. Find the value : 6 raised to 0

(a) 6                    (b) 60                 (c) 1                     (d) 0

13. Find the value : (–3)³

(a) 27                  (b) –27               (c) 9                    (d) 18

14. 10⁴ = ?

(a) 1,000            (b) 100               (c) 100,000       (d) 10,000

15. What sign will make the following number expression CORRECT?

–(9)² □ (–3)²

(a) =                    (b) >                   (c) <                    (d) none of the above

16. Find the value.

9³ • 4⁴

(a) 2, 916           (b) 186, 624      (c) 20,736         (d) 46,656

17. Solve: x⁴ for x = –7

(a) 2,401            (b) –343            (c) –2,401         (d) 49

18. Write the expression using exponents.

x • x • x • x • y • y • y

(a) x³y³               (b) x⁴y²               (c) x³y²               (d) x⁴y³

19. A cubical box is 4 meters wide. How much water can 5 boxes like this can hold? Volume = Side³

(a) 64 meters³                               (b) 80 meters³

(c) 72 meters³                               (d) 320 meters³

20. 5³ + 3³ + 2⁴ = ?

(a) 168                (b) 150                (c) 125                (d) 160

Answer Key:

(1)-(b); (2)-(d); (3)-(c); (4)-(d); (5)-(c); (6)-(a); (7)-(b); (8)-(d); (9)-(c); (10)-(a); (11)-(a); (12)-(c); (13)-(b); (14)-(d); (15)-(c); (16)-(b); (17)-(a); (18)-(d); (19)-(d); (20)-(a)