Surds and Indices Worksheet-3

Surds and Indices Worksheet-3

1. If 5^a = 3125, then the value of 5^{(a – 3)} is:

(a) 25                  (b) 125                (c) 625                (d) 1625

2. If , then the value of a is:

(a) 4                    (b) 5                    (c) 6                    (d) 8

3. If , then the value of n is:

(a) 2                    (b) 4                    (c) 6                    (d) 12

4. If , then the value of n is :

(a) 2                    (b) 3                    (c) 4                    (d) 5

5. If , then the value of n is:

(a) 0                    (b) 2                    (c) 3                    (d) 4

6. If 2^{n + 4} – 2^{n + 2} = 3, then n is equal to:

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

7. If 2^{n – 1} + 2^{n + l} = 320, then n is equal to:

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

8. If 3^X – 3^X–1  = 18, then the value of x^x is:

(a) 3                    (b) 8                    (c) 27                  (d) 216

9. is equal to:

(a) 2^{n + 1}                                         (b)

(c)                                (d) 1

10. If x = 3 + , then the value of is:

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

Answer Key:

(1)-a; (2)-a; (3)-d; (4)-d; (5)-c; (6)-d; (7)-d; (8)-c; (9)-d; (10)-b