Mathematics for IGCSE & O level - Indices 1 (Section 2)

• 1

  Which of the following is equivalent to √a⁶?

  回答

  (A)

  a³
• 2

  What is the index (or exponent) in the expression 2⁴?

  回答

  (B)

  4
• 3

  Simplify: 2⁴ × 2^-2

  回答

  (B)

  2
• 4

  Simplify: (x⁴)²

  回答

  (B)

  x⁸
• 5

  Which is equivalent to 5³ / 5¹?

  回答

  (A)

  5²
• 6

  What is the simplified form of 3⁴ / 3²?

  回答

  (B)

  3²
• 7

  What is the simplified form of (x^a)^b?

  回答

  (C)

  x^ab
• 8

  Evaluate: 9^1/2

  回答

  (A)

  3
• 9

  Simplify the expression: x⁵ * x^-2

  回答

  (A)

  x³
• 10

  Which of the following statements are true regarding indices?

  回答

  A

  D
• 11

  If 4^x = 64, what is the value of x?

  回答

  (B)

  3
• 12

  What is the index notation for 8 * 8 * 8?

  回答

  (C)

  8³
• 13

  Which of the following is equal to (2²)⁰?

  回答

  (B)

  1
• 14

  Simplify: 5² x 5³

  回答

  (A)

  5⁵
• 15

  Which of the following is NOT equal to 1?

  回答

  (D)

  0⁵
• 16

  Which is equivalent to the cube root of 64?

  回答

  (B)

  4
• 17

  Which of the following is equivalent to 2³ × 2²?

  回答

  (A)

  2⁵
• 18

  What is the value of √81?

  回答

  (B)

  9
• 19

  Which of the following is equivalent to the cube root of x?

  回答

  (B)

  x^1/3
• 20

  Simplify: y^-2 * y⁵

  回答

  (A)

  y³
• 21

  Evaluate: 49^1/2

  回答

  (A)

  7
• 22

  Which expression is equivalent to (2³)²?

  回答

  (B)

  2⁶
• 23

  Which expression is equal to 10^-2?

  回答

  (C)

  1/100
• 24

  If a = 3, what is the value of a²?

  回答

  (B)

  9
• 25

  Simplify: 7⁶ / 7²

  回答

  (B)

  7⁴
• 26

  What is the result of 2^-3?

  回答

  (C)

  1/8
• 27

  Which rule applies when simplifying expressions like a^m/aⁿ?

  回答

  (B)

  Subtract the exponents
• 28

  Evaluate: (1/2)^-2

  回答

  (D)

  4
• 29

  Which are correct statements about indices?

  回答

  A

  C

  D
• 30

  What is the value of 4^-2?

  回答

  (C)

  1/16
• 31

  Which expression(s) are equivalent to 2⁴?

  回答

  A

  B

  C
• 32

  What is the simplified form of (16)^3/4?

  回答

  (C)

  8
• 33

  Which of the following is/are true regarding index laws?

  回答

  A

  B

  D
• 34

  What is the simplified form of (a⁴)³?

  回答

  (B)

  a¹²
• 35

  Which expression is equal to 4² * 4³?

  回答

  B

  C
• 36

  Which statement describes the meaning of a negative index?

  回答

  (B)

  The reciprocal of the base raised to the positive index.
• 37

  What is the value of 2³?

  回答

  (C)

  8
• 38

  Which of the following are true regarding index notation?

  回答

  A

  B

  C
• 39

  Which is another way of writing the cube root of 64?

  回答

  (D)

  64^1/3
• 40

  Simplify x³ * x⁴.

  回答

  (B)

  x⁷
• 41

  Which of the following is equivalent to (3²)³?

  回答

  B

  C

  D
• 42

  When dividing terms with the same base, what operation do you perform on the indices?

  回答

  (B)

  Subtract
• 43

  Simplify: (2³)²

  回答

  (B)

  2⁶
• 44

  Express 1/8 as a power of 2.

  回答

  (B)

  2^-3
• 45

  Evaluate: 27^2/3

  回答

  (B)

  9
• 46

  Which expression is equal to the square root of 25?

  回答

  (B)

  25^1/2
• 47

  Which are equivalent to 64?

  回答

  A

  B

  C
• 48

  Simplify: y² * y⁵

  回答

  (B)

  y⁷
• 49

  What is the value of 10⁰?

  回答

  (B)

  1
• 50

  What is the cube root of 8?

  回答

  (A)

  2