Exponents and Powers Worksheet-7

Exponents and Powers Worksheet-7

1. If x^y = y^x, then  is equal to

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

2. If  then  is

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

3.  equals to

(a) 4                    (b)                   (c) 1                     (d) 16

4. The value of  is

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

5. The value of is

(a) 1                     (b) 10                  (c) 100                (d) None

6. Which of the following values are equal?

I. 1⁴            II. 4⁰          III. 0⁴        IV. 4¹

(a) I and II         (b) II and III     (c) I and III       (d) I and IV

7. The sum of the powers of the prime factors in 108 × 192 is

(a) 5                    (b) 7                    (c) 8                    (d) 12

8. The value of is

(a) 5                    (b) 6                    (c) 7                    (d) 8

9. The value of  is

(a) 545                (b) 500               (c) 630               (d) None

10. Conjugate surd of is

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

11. The value of is

(a) 7                    (b) 14                  (c)             (d) None

12. If  then the value of  is

(a) 1.787            (b) 1.525            (c) 1.828            (d) 1.326

13. The rationalizing factor of a³ + ab +b² is

(a) a + b             (b) a² + b²        (c) a² – b²          (d) a – b

14. By what number should we multiply 4^–3 so that the product may be equal to 64?

(a) 4⁵                  (b) 2¹²               (c) 2⁶                   (d) None

15. The value of  is

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

16. What is the number to be multiplied by (–7)^–1 so as to get 10^–1 as the product?

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

17. The value of (4⁰ – 3¹) × 6² is

(a) 0                    (b) –36               (c) –72               (d) None

18. If 8^{x – 1} = 2^{x + 3} then x =

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

19. Which of the following statements is false?

(a) (–1)ⁿ = –1, if n is an odd integer

(b) For any rational number  a, a⁰ = 1

(c) If 4 × 8^m = 2⁵ then m = 1

(d) None of these

20. By what number should (–25)^–1 be divided so that the quotient may be 5^–1?

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

Answer Key:

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