MCQ on Exponents and Powers (Grade 7)

Multiple Choice Questions

EXPONENTS AND POWERS

1.  Fill in the blanks.

(i) The exponential form 14⁹ should be read as_______________

(ii)  The expanded form of p³q² is________________

(iii)  When base is 12 and exponent is 17, its exponential form is_____________

(iv) The value of (14 × 21)⁰  is_______________

2.  Say True or False.

(i) 2³ × 3² = 6⁵

(ii)  2⁹ × 3² =   (2 × 3)^9×2

(iii)  3⁴ × 3⁷ = 3¹¹

(iv)  (2)⁰ = (1000)⁰

(v) 2³ < 3²

3. a×a×a×a×a  is equal to
(i) a⁵                (ii) 5^a               (iii) 5a             (iv) a+5

4. The exponential form of 72 is
(i)7²                 (ii) 2⁷               (iii) 2² × 3³       (iv) 2³ × 3²  

5. The value of x in the equation a¹³ = x³ × a¹⁰ is
(i) a                  (ii) 13               (iii) 3                (iv) 10

6. How many zeros are there in 100¹⁰? 

(i) 2                 (ii) 3                 (iii) 10             (iv) 20

7. 2⁴⁰ + 2⁴⁰ is equal to
(i) 4⁴⁰             (ii) 2⁸⁰             (iii) 2⁴¹             (iv) 4⁸⁰

8.  Fill in the blanks.
(i) The degree of the term a³b²c⁴d² is ___________.
(ii)  Degree of the constant term is ______.
(iii)  The coefficient of leading term of the expression  3z²y + 3x − 2  is _________. 

9.  Say True or False:
(i) The degree of m²n and mn² are equal.
(ii) 7a²b and −7ab² are like terms.
(iii) The degree of the expression −4x²yz is −4.

10.  3p² − 5pq + 2q² + 6 pq − q² + pq   is a
(i) Monomial               (ii) Binomial
(iii) Trinomial             (iv) Quadrinomial

11.  The degree of 6x⁷ – 7x³ + 4 is
(i) 7                  (ii) 3                 (iii) 6                (iv) 4

12. If p(x)  and q(x)  are two expressions of degree 3, then the degree of p(x)  + q(x)  is
(i) 6                  (ii) 0                 (iii) 3                (iv) Undefined

13.

(i) 3⁶⁺⁴⁺¹⁰                      (ii) 3^6x4x10                    
(iii) 3^6-4+10                    (iv) 3^(6-4)x10

14. The correct value of (3²)³
(i) 18                            (ii) 216            
(iii) 729                        (iv) 243

15. The value of 7^(-2)
(i) -49                         (ii) 49  
(iii) 1/49                       (iv) -14

16. 3⁶ x 2³ x 4² x 3⁰ ÷ 3⁴ x 2⁵ x 2²
(i) 9                  (ii) 4                 (iii) 1                (iv) 1/8

17. 864000000 can be written in scientific notation as
(i) 8.64 x 10⁶               (ii) 8.64 x 10⁷                         
(iii) 8.64 x 10¹⁰            (iv) 8.64 x 10⁸

18. 0.0000952 can be written in scientific notation as
(i) 9.52 x 10^(-7)             (ii) 952 x 10⁷              
(iii) 9.52 x 10^(-5)           (iv) (0.952 x 10)^-12

19. 1 ÷ 81 is not equal to
(i) 1 ÷ 3⁴                      (ii) (1÷3)⁴        
(iii) (1÷3)^-1                   (iv) (3)^-4

^Answers:

^{1.  (i)     14 raised to the power 9
    (ii)    p x p x p x q x q
    (iii)}   12¹⁷

2.   (i) False     (ii) False          (iii) True
      (iv) True         (v) True

3.   (i) a⁵

4.   (iv) 2³ × 3²

5.   (i) a

6.   (iv) 20

7.   (i) 4⁴⁰

8.   (i) 4                        (ii) 0                 (iii) 3

9.   (i) True                   (ii) False          (iii) True 

10.

                        (or)

11.  (i) 7

12. (iii) 3

13.  (iv) 3^(6-4)x10

   

14.  (iii) 729

    (3²)³ = 3^2x3= 3⁶ = 729

15.  (iii) 1/49

16.  (i) 9

17.  (iv) 8.64 x 10⁸

18.  (iii) 9.52 x 10^(-5)

19.  (iii) (1÷3)^-1