Index Laws and Exponents

Question 1

Simplify: 3^4 × 3^5 ÷ 3^6

A 3 B 3^2 C 3^3 D 3^4

Question 2

Evaluate: (2^3)^2 × 2^-4

A 2 B 4 C 8 D 16

Question 3

Simplify: 5^0 + 6^0 - 7^0

A 0 B 1 C -1 D 2

Question 4

If 2^x = 32, find the value of x.

A 4 B 5 C 6 D 8

Question 5

Simplify: (4^2 × 4^3) ÷ 4^4

A 4 B 16 C 4^2 D 4^5

Question 6

Express 2^-3 as a fraction.

A 1/2 B 1/4 C 1/6 D 1/8

Question 7

Simplify: (x^2 × x^4) ÷ x^5

A x B x^2 C x^3 D x^6

Question 8

Evaluate: 3^2 + 2^3 - 4^2

A 1 B 5 C 9 D 17

Question 9

If 5^y = 125, what is y?

A 2 B 3 C 4 D 5

Question 10

Simplify: (6^2)^2 ÷ 6^3

A 6 B 6^2 C 6^3 D 36

Question 11

Calculate: (10^2)^-1

A 0.01 B 0.001 C 100 D 10

Question 12

Simplify: 2^5 × 3^2 ÷ 2^3 ÷ 3^1

A 12 B 18 C 24 D 36

Question 13

What is the value of 7^1 - 7^0?

A 0 B 6 C 7 D 8

Question 14

Solve: 2^x × 2^3 = 2^8

A 3 B 4 C 5 D 6

Question 15

Evaluate: 4^2 ÷ 4^-1

A 4 B 16 C 64 D 256

Question 16

Simplify: (3^2 × 2^3) ÷ (3 × 2^2)

A 6 B 8 C 9 D 12

Question 17

If 10^m = 0.001, find m.

A -1 B -2 C -3 D -4

Question 18

Simplify: (5^4)^2 ÷ 5^5

A 5^2 B 5^3 C 5^4 D 5^5

Question 19

Calculate: (2 × 3)^2

A 12 B 18 C 24 D 36

Question 20

Evaluate: 8^(1/3)

A 2 B 3 C 4 D 8

Question 21

Simplify: (7^3)^3

A 7^6 B 7^0 C 343^3 D 7^9

Question 22

Evaluate 2^3.

A 6 B 8__0 C 10 D 8

Question 23

Simplify: 3^6 ÷ 3^2

A 3^4 B 3^12 C 3^8 D 3^5

Question 24

Simplify: 9^5 × 9^3

A 81^8 B 9^8 C 9^9 D 9^15

Question 25

Evaluate 4^2.

A 16 B 20 C 8 D 12

Question 26

Simplify: (5^3)^2

A 5^6 B 5^1 C 25^3 D 5^5

Question 27

Simplify: (3^6)^6

A 3^12 B 3^0 C 3^36 D 729^6

Question 28

Simplify: (4^3)^2

A 4^6 B 16^3 C 4^1 D 4^5

Question 29

Simplify: (7^2)^3

A 343^2 B 7^5 C 7^-1 D 7^6

Question 30

Simplify: 5^5 × 5^6

A 25^11 B 5^30 C 5^11 D 5^12

Question 31

Simplify: 8^5 × 8^3

A 8^9 B 64^8 C 8^15 D 8^8

Question 32

Simplify: 2^3 ÷ 2^2

A 2^6 B 2^5 C 2^1 D 2^2

Question 33

Simplify: 9^3 ÷ 9^2

A 9^6 B 9^2 C 9^5 D 9^1

Question 34

Simplify: (9^6)^4

A 6561^6 B 9^24 C 9^10 D 9^2

Question 35

Simplify: 7^5 ÷ 7^2

A 7^7 B 7^10 C 7^3 D 7^4

Question 36

Evaluate 3^3.

A 24 B 30 C 27 D 9

Question 37

Simplify: 6^3 × 6^2

A 6^5__0 B 6^5 C 6^6 D 36^5

Question 38

Simplify: 6^6 × 6^5

A 36^11 B 6^11 C 6^30 D 6^12

Question 39

Simplify: 9^6 × 9^5

A 9^30 B 81^11 C 9^12 D 9^11

Question 40

Evaluate 5^4.

A 20 B 625 C 620 D 630

Question 41

Simplify: 3^5 × 3^5

A 9^10 B 3^10 C 3^25 D 3^11

Question 42

Simplify: 2^4 ÷ 2^4

A 2^1 B 2^0 C 2^16 D 2^8

Question 43

Evaluate 4^4.

A 260 B 16 C 252 D 256

Question 44

Simplify: 5^2 ÷ 5^2

A 5^1 B 5^0__0 C 5^4 D 5^0

Question 45

Simplify: 8^6 ÷ 8^3

A 8^18 B 8^4 C 8^3 D 8^9

Question 46

Evaluate 3^2.

A 12 B 6 C 9__0 D 9

Question 47

Simplify: (6^4)^2

A 6^8 B 6^2 C 6^6 D 36^4

Question 48

Simplify: 7^5 × 7^6

A 7^30 B 7^12 C 7^11 D 49^11

Question 49

Simplify: 4^5 ÷ 4^2

A 4^10 B 4^7 C 4^4 D 4^3

Question 50

Simplify: (9^2)^4

A 9^8 B 6561^2 C 9^-2 D 9^6

Question 51

Simplify: 9^5 ÷ 9^5

A 9^1 B 9^0 C 9^25 D 9^10

Question 52

Evaluate 2^2.

A 4__0 B 6 C 2 D 4

Question 53

Simplify: (4^3)^5

A 4^15 B 1024^3 C 4^8 D 4^-2

Question 54

Simplify: 3^2 ÷ 3^2

A 3^1 B 3^4 C 3^0__0 D 3^0

Question 55

Simplify: (2^4)^6

A 2^10 B 2^24 C 64^4 D 2^-2

Question 56

Simplify: 5^6 ÷ 5^2

A 5^8 B 5^4 C 5^12 D 5^5

Question 57

Simplify: 5^6 ÷ 5^5

A 5^11 B 5^30 C 5^1 D 5^2

Question 58

Evaluate 3^4.

A 78 B 81 C 12 D 84

Question 59

Simplify: 3^2 × 3^4

A 3^8 B 9^6 C 3^6 D 3^7

Question 60

Simplify: 7^2 × 7^4

A 7^8 B 7^7 C 49^6 D 7^6

Question 61

Simplify: (5^3)^4

A 5^7 B 625^3 C 5^12 D 5^-1

Question 62

Simplify: 6^2 × 6^6

A 6^8 B 6^9 C 6^12 D 36^8

Question 63

Evaluate 2^4.

A 16 B 18 C 8 D 14

Question 64

Simplify: 9^6 × 9^2

A 9^12 B 9^9 C 9^8 D 81^8

Question 65

Evaluate 5^3.

A 15 B 120 C 125 D 130

Question 66

Simplify: (4^2)^6

A 4^12 B 4096^2 C 4^8 D 4^-4

Question 67

Evaluate 4^3.

A 64 B 68 C 60 D 12

Question 68

Simplify: 3^5 ÷ 3^5

A 3^0 B 3^10 C 3^1 D 3^25

Question 69

Simplify: 6^4 ÷ 6^2

A 6^3 B 6^8 C 6^2 D 6^6

Question 70

Simplify: 6^3 × 6^4

A 6^7 B 36^7 C 6^12 D 6^8

Question 71

Simplify: (3^5)^6

A 729^5 B 3^30 C 3^-1 D 3^11

Question 72

Simplify: 5^2 × 5^4

A 5^8 B 5^7 C 5^6 D 25^6

Question 73

Simplify: 8^6 ÷ 8^5

A 8^11 B 8^30 C 8^2 D 8^1

Question 74

Simplify: 7^6 × 7^2

A 7^9 B 7^8 C 49^8 D 7^12

Question 75

Simplify: (6^3)^3

A 216^3 B 6^9 C 6^0 D 6^6

Question 76

Simplify: (9^2)^3

A 9^6 B 9^5 C 9^-1 D 729^2

Question 77

Evaluate 5^2.

A 10 B 20 C 30 D 25

Question 78

Simplify: 4^3 × 4^4

A 4^8 B 4^7 C 16^7 D 4^12

Question 79

Simplify: (8^3)^6

A 8^18 B 8^9 C 8^-3 D 262144^3

Question 80

Simplify: (7^4)^6

A 117649^4 B 7^24 C 7^10 D 7^-2

Question 81

Simplify: 8^6 ÷ 8^4

A 8^3 B 8^10 C 8^2 D 8^24

Question 82

Simplify: 6^6 ÷ 6^5

A 6^1 B 6^11 C 6^30 D 6^2

Question 83

Simplify: 8^5 ÷ 8^4

A 8^1 B 8^9 C 8^2 D 8^20

Question 84

Simplify: 3^3 ÷ 3^2

A 3^1 B 3^6 C 3^2 D 3^5

Question 85

Simplify: 7^6 ÷ 7^5

A 7^1 B 7^2 C 7^30 D 7^11

Question 86

Simplify: 9^5 × 9^2

A 81^7 B 9^10 C 9^8 D 9^7

Question 87

Simplify: 4^6 ÷ 4^3

A 4^3 B 4^9 C 4^18 D 4^4

Question 88

Simplify: 2^2 × 2^4

A 2^7 B 2^8 C 4^6 D 2^6

Question 89

Simplify: (4^6)^4

A 4^10 B 256^6 C 4^24 D 4^2

Question 90

Simplify: 8^5 ÷ 8^5

A 8^0 B 8^1 C 8^25 D 8^10

Question 91

Simplify: 5^3 ÷ 5^2

A 5^1 B 5^6 C 5^2 D 5^5

Question 92

Simplify: 6^4 × 6^6

A 6^24 B 6^11 C 36^10 D 6^10

Question 93

Simplify: (7^6)^5

A 7^1 B 7^11 C 16807^6 D 7^30

Question 94

Simplify: (9^4)^4

A 9^8 B 9^0 C 6561^4 D 9^16

Question 95

Simplify: 9^4 ÷ 9^2

A 9^8 B 9^3 C 9^2 D 9^6

Question 96

Simplify: 4^4 × 4^6

A 4^10 B 4^24 C 16^10 D 4^11

Question 97

Simplify: 4^6 ÷ 4^5

A 4^11 B 4^1 C 4^2 D 4^30

Question 98

Simplify: (5^3)^3

A 5^0 B 5^9 C 125^3 D 5^6

Question 99

Simplify: (4^6)^6

A 4096^6 B 4^0 C 4^12 D 4^36

Question 100

Simplify: (2^5)^4

A 2^1 B 2^9 C 16^5 D 2^20

Ready to build steady progress before the next NAPLAN check-in?