Exponents and Powers Worksheet-10

Exponents and Powers Worksheet-10

1. The value of  is

(a) 4                    (b) 16                  (c) 2                    (d) 32

2. If x = y³, which expression is equal to y⁶?

(a) x²                   (b) x³                  (c) x⁹                   (d) x¹⁸

3. The value of  is

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

4. 47561 can be written as

(a) 4 × 10⁵ + 7 × 10⁴ + 5 × 10³ + 6 × 10² + 1 × 10¹ + 10⁰

(b) 4 × 10⁴ + 7 × 10³ + 5 × 10² + 6 × 10¹ + 1 × 10¹

(c) 4 × 10³ + 7 × 10² + 5 × 10¹ + 6 × 10⁰ + 1

(d) 4 × 10⁴ + 7 × 10³ + 6 × 10² + 5 × 10¹ + 1 × 10⁰

5. The value of x so that  is

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

6. The number which is multiplied to 3^–9 so that the product is equal to 3 is

(a) 3⁸                  (b) 3⁹                  (c) 3¹⁰                 (d) 3¹¹

7. The value of  is

(a) 44                  (b) 29                 (c) 30                  (d) 55

8. If p : 10 × 10¹¹ = 100¹¹.

q : 2³ > 5² then

(a) Both p and q are true            (b) p is true and q is false

(c) p is false and q is true           (d) Both p and q are false

9. (3^–1 – 6^–1)^–1 = ?

(a) 3                    (b) 6                    (c)                    (d)

10. 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

11. The number 34,30,000 can be written in standard form as

(a) 34.3 × 10⁵   (b) 343 × 10⁴    (c) 3.43 × 10⁶   (d) 0.343 × 10⁷

12. Which of the following has the same value as 9⁶ × 9^–5 ?

(a) 9⁹                  (b) 9                    (c) 9²                   (d) 9³

Answer Key:

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