ICSE Worksheet for Chapter - 7 Surds And Exponents Class 8

ICSE Worksheet for Chapter - 7 Surds And Exponents Class 8

Worksheets For class 8

Find ICSE Worksheet for chapter-7 Surds And Exponents class 8

1. CLASS-8
2. BOARD: ICSE
3. Mathematic Worksheet - 7
4. TOPIC: Surds And Exponents
5. For other ICSE Worksheet for class 8 Mathematic check out main page of Physics Wallah.

SUMMARY:

1. Surds and Radicals:
2. Let ‘a’ be a rational number and ‘n’ be a positive integer such that is an irrational, then is called a surd of the order n and a is called the radical.
3. is a surd if a is a rational number and is an irrational number.
4. Law of Radicals:
5. 
6. Exponents:
7. Law of exponents:
8. 

EXERCISE:

1. If 3x = 500, then the value of 3 ^x-2 is:
   1. 100/9
   2. 1000/9
   3. 500/9
   4. 500/3
2. If p/q = (2/3) ³ (3/2) ³ then the value of (p/q) ^(-10) is:
   1. 1
   2. 0
   3. cannot be determined
   4. None of these
3. The value of [(-2) ^-2 ] ^-3 is:
   1. 64
   2. 32
   3. Cannot be determined
   4. None of these
4. Simplify: (32) ^-2/5 (125) ^-2/3
   1. 4/25
   2. 25/4
   3. 2/5
   4. 5/2
5. (64) ^-2/3 ×(1/4) ^-3 equals to:
   1. 4
   2. 1/4
   3. 1
   4. 16
6. If x+1/x = 2, then x ⁸ +1/x ⁸ is equal to:
   1. 1
   2. 3
   3. 2
   4. √2
7. The value of is
   1. 3/2
   2. -3/2
   3. 2/3
   4. -1/2
8. The exponential form of
   1. 6 ^(-1/2)
   2. 6 ^(1/2)
   3. 6 ^(1/4)
   4. 6
9. The value of
   1. 10
   2. 1
   3. 6
   4. 8
10. Which of the following is equal to 1?
11. If a ^p a ^q =a ^x , then x=
    1. p+q
    2. p-q
    3. pq
    4. p/q
12. The value of
    1. √3
    2. 2√3
    3. 0
    4. 3√3
13. If (4) ³ ×(6) ⁴ ×(10) ⁵ = 2 ^x ×3 ^y ×5 ^z then the value of x+y+z is:
    1. 12
    2. 15
    3. 20
    4. 24
14. If b=a+c, then (x/y) ^a (y/x) ^b (y/x) ^-c =
    1. 0
    2. 1
    3. 2
    4. – 1
15. The value of ‘a’ in the following equation: [9/2] ^-3 ×[2/9] ^-6 =[2/9] ^2a-1 [9/2] ⁰
    1. 1
    2. - 2
    3. - 1
    4. 2

Solutions: to worksheet-7 Topic- Surds And Exponents

1. (C)
2. (A)
3. (A)
4. (B)
5. (A)
6. (C)
7. (B)
8. (C)
9. (A)
10. (C)
11. (A)
12. (C)
13. (D)
14. (B)
15. (C)