Mathematics for IGCSE & O level - Indices 1 (Section 1)

• 1

  Which statement is correct?

  回答

  A

  D
• 2

  Which of the following expressions is equivalent to (3² x 3¹)

  回答

  (C)

  3³
• 3

  Evaluate: 125^-1/3

  回答

  (B)

  -1/5
• 4

  Which of the following is equivalent to (2²)³?

  回答

  (B)

  2⁶
• 5

  What is the result of 27^2/3?

  回答

  (A)

  3
• 6

  Which is the simplified form of 2x³ * 3x²?

  回答

  (B)

  6x⁵
• 7

  Which of the following statements are true?

  回答

  A

  C

  D
• 8

  Which expression is equal to 1/3²?

  回答

  (A)

  3^-2
• 9

  Which calculation is equivalent to 2⁵ ÷ 2³?

  回答

  (B)

  2²
• 10

  Simplify: (5²)²

  回答

  (A)

  5⁴
• 11

  What is the reciprocal of 2³?

  回答

  A

  D
• 12

  What is √n expressed in index form?

  回答

  (B)

  n^1/2
• 13

  What is the value of 2^-4?

  回答

  (C)

  1/16
• 14

  Which statement is true for a^m/aⁿ

  回答

  (C)

  a^m/aⁿ = a^m-n
• 15

  Which expression is equivalent to x³ ÷ x?

  回答

  (C)

  x²
• 16

  Which is the simplified form of x^a * x^b?

  回答

  (A)

  x^a+b
• 17

  If a^x = 64, what could be the value of x if a=2?

  回答

  (D)

  6
• 18

  What is 64^1/2?

  回答

  (B)

  8
• 19

  Which of the following is equal to 5^-3 * 5⁴?

  回答

  (C)

  5¹
• 20

  Simplify: 4^-1

  回答

  (C)

  1/4
• 21

  What does the expression a^-1 represent?

  回答

  (B)

  1/a
• 22

  Simplify: 7⁵ / 7⁵

  回答

  (B)

  1
• 23

  Which of the following is equal to the cube root of 8?

  回答

  (A)

  2
• 24

  What is the base in the expression 5³?

  回答

  (B)

  5
• 25

  What is x^-3 equal to?

  回答

  (B)

  1/x³
• 26

  What is the value of 16^-1?

  回答

  (B)

  1/16
• 27

  Which of the following represents the same value as 4³?

  回答

  (B)

  4 * 4 * 4
• 28

  Which expression is equivalent to (a²b³)²?

  回答

  (B)

  a⁴b⁶
• 29

  What is the value of (1/9)^-1/2?

  回答

  (D)

  3
• 30

  What is the result of 8^1/3?

  回答

  (A)

  2
• 31

  Simplify: (a^-1)²

  回答

  (B)

  a^-2
• 32

  Evaluate 36^-1/2

  回答

  (B)

  -1/6
• 33

  Which of the following is equal to 16^1/2?

  回答

  (B)

  4
• 34

  What is the simplified form of a³ * a²?

  回答

  (B)

  a⁵
• 35

  What is 1/4 expressed as a power of 2?

  回答

  (B)

  2^-2
• 36

  Simplify: a^-2 / a^-5

  回答

  (B)

  a³
• 37

  Express 6 x 6 x 6 x 6 x 6 using index notation.

  回答

  (C)

  6⁵
• 38

  What is 27^1/3?

  回答

  (A)

  3
• 39

  Which of the following is equal to the square root of x⁴?

  回答

  (A)

  x²
• 40

  Simplify: (3x²)³

  回答

  (D)

  27x⁶
• 41

  Simplify: (a⁴)³

  回答

  (B)

  a¹²
• 42

  What is the result of 16^1/4?

  回答

  (B)

  4
• 43

  Which expression is equivalent to 5⁰?

  回答

  (B)

  1
• 44

  Express 5 x 5 x 5 using index notation.

  回答

  (C)

  5³
• 45

  Which of the following is equivalent to a² * a⁰?

  回答

  (A)

  a²
• 46

  Simplify: √16

  回答

  (B)

  4
• 47

  Which operation is used to simplify x^m * xⁿ?

  回答

  (A)

  Add the exponents
• 48

  Simplify: (3²)³

  回答

  (D)

  3⁹
• 49

  Simplify: x⁷ / x³

  回答

  (A)

  x⁴
• 50

  Which of the following is equivalent to 8^2/3?

  回答

  (B)

  4