Exponents and Powers Worksheet-8

Exponents and Powers Worksheet-8

1. If  then a = ________.

(a) –1                  (b) 0                    (c) 1                     (d) 2

2. The value of is

(a) 2                    (b) 0                    (c) 1                     (d) –1

3. _____.

(a) 0                    (b) 1                    (c) –1                  (d) 2

4. If 3^x = 500 then the value of 3^x–2 is

(a)               (b)            (c)               (d)

5. If  then the value of _____.

(a) 1                                                 (b) 0

(c) Cannot be determined          (d) None

6. Express 0.0084 in scientific notation

(a) 84 × 10^–4     (b) 8.4 × 10^–3   (c) 0.84 × 10^–2 (d) None

7. The distance of the earth from the sun is 149,000,000 km. In scientific notation the distance is

(a) 149 × 10⁶ km                           (b) 14.9 × 10⁷ km

(c) 1.49 × 10⁸ km                          (d) 0.149 × 10⁹ km

8. Which of the following number is in the scientific notation?

(a) 1.26 × 10^–5 m                          (b) 15.75 ×  10³ m

(c) 0.18 ×  10^–7 km                       (d) 0.0013 ×  10^–8 km

9. 2³ + 2³ + 2³ + 2³ is equal to

(a) 2⁵                   (b) 2¹²                 (c) 2⁸¹                 (d) 2¹⁶

(a)                    (b)                   (c)                    (d)

11. The value of x, for which  is

(a) 2                    (b) 3                    (c) 1                     (d) 9

12. The value  is

(a) 2                    (b) 0                    (c) 1                     (d) –1

13. If , then the value of  is

(a) 1                     (b) 0

(c) –1                   (d) Cannot be determined

(a)                 (b)                 (c)                 (d)

15. Match the reciprocal of each of the following in exponential form

(a) 1-c, 2-b, 3-d, 4-a                    (b) 1-a, 2-b, 3-c, 4-d

(c) 1-b, 2-c, 3-d, 4-a                    (d) 1-d, 2-a, 3-b, 4-c

16. The value of (9^4/3 ÷ 27^2/3) × 3^3/2 is

(a)                  (b)                 (c)                 (d) 3⁴

Answer Key:

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