Mathematics for IGCSE & O level - Indices 1 (Section 3)

• 1

  Evaluate: 4² * 4^-3

  回答

  (A)

  1/4
• 2

  Simplify: 2⁸ / 2⁴

  回答

  (B)

  2⁴
• 3

  Which of the following correctly uses the rule for multiplying indices?

  回答

  A

  B
• 4

  Which of the following is equivalent to 9^1/2?

  回答

  (A)

  3
• 5

  Which of the following expressions is/are equivalent to 1/16?

  回答

  A

  B

  D
• 6

  What does the expression 7⁴ mean?

  回答

  (C)

  7 x 7 x 7 x 7
• 7

  Which expression(s) are equivalent to 1/9?

  回答

  A

  B
• 8

  How is 6 x 6 x 6 x 6 written in index notation?

  回答

  (C)

  6⁴
• 9

  What does the exponent in the expression 2⁵ indicate?

  回答

  (A)

  The base is multiplied by itself 5 times.
• 10

  Simplify: (5²)³

  回答

  (B)

  5⁶
• 11

  What is the simplified form of: (x² * x³) / x⁴?

  回答

  (A)

  x
• 12

  What operation is indicated by the index '1/2'?

  回答

  (C)

  Square root
• 13

  Which of the following is equivalent to √9?

  回答

  (B)

  9^1/2
• 14

  What does 5² represent?

  回答

  (C)

  5 x 5
• 15

  Simplify: (p³)⁴

  回答

  (B)

  p¹²
• 16

  Which calculation represents 3³?

  回答

  (C)

  3 x 3 x 3
• 17

  Which of the following is true?

  回答

  (C)

  Any number to the power of 1 is itself.
• 18

  What is the result of 27^1/3?

  回答

  (A)

  3
• 19

  Which of the following represent(s) the cube root of a number?

  回答

  A

  B
• 20

  How is the cube root of 27 expressed using indices?

  回答

  (C)

  27^1/3
• 21

  What does the index represent in index notation?

  回答

  (B)

  The number of times the base is multiplied by itself
• 22

  What is the index in the expression 5⁴?

  回答

  (A)

  4
• 23

  When simplifying expressions with exponents, what do you do when dividing terms with the same base?

  回答

  (B)

  Subtract the exponents.
• 24

  Which of the following represents a^2/3?

  回答

  A

  D
• 25

  Which of the following represents the reciprocal of x³?

  回答

  (A)

  x^-3
• 26

  Evaluate: 5^-1 x 5²

  回答

  (A)

  5
• 27

  Simplify: 9⁹/9⁰

  回答

  (C)

  9⁹
• 28

  What is the value of 16^1/4?

  回答

  (B)

  4
• 29

  Identify the correct statements about fractional indices.

  回答

  A

  B

  C
• 30

  Which of the following statements is/are correct?

  回答

  A

  C
• 31

  What is the result of 10^-3?

  回答

  (B)

  1/1000
• 32

  Which is equivalent to 1/3²?

  回答

  (B)

  3^-2
• 33

  Calculate the value of 100^1/2.

  回答

  (A)

  10
• 34

  Simplify: (4^1/2)³

  回答

  (C)

  8
• 35

  Evaluate: 3³ * 3^-2

  回答

  (B)

  3
• 36

  What is the value of 4^-1?

  回答

  (C)

  1/4
• 37

  What is the value of any non-zero number raised to the power of 0?

  回答

  (B)

  1
• 38

  Which expression is equivalent to (x²)⁵?

  回答

  (B)

  x¹⁰
• 39

  Which of the following represents the square root of x?

  回答

  (B)

  x^1/2
• 40

  Evaluate: 3^-2

  回答

  (C)

  1/9
• 41

  Which of the following represents the cube root of 64?

  回答

  (B)

  64^1/3
• 42

  Which of the following is a correct example of index notation?

  回答

  (A)

  4 x 4 x 4 x 4 = 4⁴
• 43

  How is a number raised to the power of 1/3 interpreted?

  回答

  (B)

  Cube root
• 44

  What is the value of 8^2/3?

  回答

  (B)

  4
• 45

  Which expression equals 125^1/3?

  回答

  (A)

  5
• 46

  What is the value of 7^-2?

  回答

  (C)

  1/49
• 47

  Simplify: 7⁵ / 7²

  回答

  (A)

  7³
• 48

  What is the result when any non-zero number is raised to the power of zero?

  回答

  (B)

  1
• 49

  Which of the following best describes x^-n?

  回答

  (C)

  The reciprocal of xⁿ.
• 50

  If x^a = y and a is negative, which statement must be true?

  回答

  (C)

  y is a fraction.