Mathematics for IGCSE & O level - Indices 2 (Section 3)

• 1

  Simplify ( rac{x^6}{x^3} ).

  回答

  (B)

  (x^3)
• 2

  Simplify ( x^4 / x^{-2} ).

  回答

  (B)

  (x^6)
• 3

  What is the result of ( a^0 )?

  回答

  (B)

  1
• 4

  Which expression is equal to ( rac{x^{-3}}{x^{-5}} )?

  回答

  (B)

  (x^2)
• 5

  Simplify ( 9^{rac{1}{2}} ).

  回答

  (A)

  3
• 6

  Solve: ( 2^x = rac{1}{8} ).

  回答

  (A)

  -3
• 7

  Select the expressions that are equivalent to (rac{1}{a^2}). (Select all that apply)

  回答

  A

  C
• 8

  Which expression is equivalent to (2^{-3})?

  回答

  (B)

  (rac{1}{8})
• 9

  Simplify ( a^3 * a^4 ).

  回答

  (A)

  (a^7)
• 10

  Simplify ( rac{a^5 b^3}{a^2 b} ).

  回答

  (A)

  (a^3 b^2)
• 11

  Simplify ( (x^2 y^3)^2 ).

  回答

  (A)

  (x^4 y^6)
• 12

  Simplify ( 2x^3 * 3x^2 ).

  回答

  (A)

  (6x^5)
• 13

  Select the expressions that simplify to (x^4) (Select all that apply)

  回答

  A

  B

  C

  D
• 14

  Which of the following is equivalent to (a^m imes a^n)?

  回答

  (B)

  (a^{m+n})
• 15

  Which expressions are equivalent to ( rac{1}{9} )? (Select all that apply)

  回答

  A

  B
• 16

  If (x = 2), what is the value of (x^{-2})?

  回答

  (B)

  (rac{1}{4})
• 17

  What is the result of ( rac{a^m}{a^m} )?

  回答

  (B)

  1
• 18

  What is the result of ( a^n / a^n )?

  回答

  (B)

  1
• 19

  What is ( (x^3)^0 )?

  回答

  (B)

  1
• 20

  Simplify ( (2x^4)^3 ).

  回答

  (D)

  (8x^{12})
• 21

  What is the simplified form of (rac{a^5 b^2}{a^3 b^1})?

  回答

  (A)

  (a^2b)
• 22

  What is ( sqrt{a^2 b^4} )?

  回答

  (A)

  (ab^2)
• 23

  Which is equal to ( (2^3)^2 )?

  回答

  (C)

  64
• 24

  Which expression is equivalent to (rac{5^2}{5^4})?

  回答

  (B)

  (5^{-2})
• 25

  Solve for *x*: ( 3^x = 81 ).

  回答

  (C)

  4
• 26

  Simplify ( (3^2)^2 ).

  回答

  (C)

  81
• 27

  Find the value of *x*: (9^x = 81).

  回答

  (B)

  2
• 28

  Which of the following is/are equivalent to (a^5 * a^{-2})? (Select all that apply)

  回答

  A

  B
• 29

  Which is the simplified form of ( sqrt{x^8} )?

  回答

  (A)

  (x^4)
• 30

  Choose the correct simplification of (3x^2 + 2x^2). (Select all that apply)

  回答

  A

  C
• 31

  Which value is equivalent to ((rac{3}{4})^{-1})?

  回答

  (B)

  (rac{4}{3})
• 32

  Which expression is equal to ( sqrt[4]{x^8} )?

  回答

  (B)

  (x^4)
• 33

  Which expression is equivalent to ( sqrt[3]{x^6} )?

  回答

  (A)

  (x^2)
• 34

  Which of the following is equivalent to ( (rac{1}{2})^{-1} )? (Select all that apply)

  回答

  A

  D
• 35

  Simplify ( 5x^3 - 2x^3 ).

  回答

  (A)

  (3x^3)
• 36

  Simplify ( rac{x^5}{x^2} ).

  回答

  (A)

  (x^3)
• 37

  Which of the following are true? (Select all that apply)

  回答

  A

  B

  D
• 38

  What is the value of ( 5^{-2} )?

  回答

  (B)

  (rac{1}{25})
• 39

  Simplify ( a^6 / a^{-2} ).

  回答

  (C)

  (a^8)
• 40

  Which is equal to ( sqrt{16} )?

  回答

  (A)

  4
• 41

  Solve for *x*: ( 2^x = 32 ).

  回答

  (C)

  5
• 42

  Simplify ( 4x^2 + 3x^2 ).

  回答

  (A)

  (7x^2)
• 43

  Simplify ( (x^{-2}y^3)^3 ).

  回答

  (A)

  (x^{-6}y^9)
• 44

  Which of the following is/are equivalent to ((a^m)^n)? (Select all that apply)

  回答

  (A)

  (a^{mn})
• 45

  Which expressions are equivalent to (16)? (Select all that apply)

  回答

  A

  B
• 46

  Simplify ( a^3 imes b^2 imes a^2 ).

  回答

  (A)

  (a^5b^2)
• 47

  Simplify: ( rac{a^2 * a^4}{a^3} ).

  回答

  (A)

  (a^3)
• 48

  Simplify ( a^4 imes a^{-2} ).

  回答

  (B)

  (a^2)
• 49

  Choose the simplified expression for (rac{x^a * x^b}{x^c}). (Select all that apply)

  回答

  A

  C
• 50

  Simplify: ( (a^2)^3 )

  回答

  (B)

  (a^6)