Free Printable Indices

1.

Simplify -9⁰

a)

1

b)

-1

c)

-9

d)

9

2.

What is the value of (-2)^3?

a)

-8

b)

-6

c)

6

d)

8

3.

(y⁹)^-2

a)

y¹⁸

b)

y¹¹

c)

1/y¹⁸

d)

y⁹/2

4.

Simplify (34x⁵y⁶z^-7)⁰

a)

34x⁵y⁶ / z⁷

b)

34x⁵y⁶ / x^-7

c)

0

d)

1

5.

Simplify the following
3²x 2⁵x 3⁶x 2⁸

a)

3⁸x 2¹²

b)

3¹² x 2⁸

c)

3⁸x 2¹³

d)

2⁸x 3 ¹²

6.

2⁵÷ 2²

a)

1

b)

2³

c)

2⁷

d)

2¹²

7.

a⁷×a⁴÷a⁵

a)

a⁷

b)

a⁶

c)

a⁴

d)

a¹¹

8.

Simplify

a)

A

b)

B

c)

C

d)

D

9.

Simplify
3s⁴x 2t²x s³

a)

5st¹⁴

b)

5s⁷t²

c)

12 s⁷t ²

d)

6 s⁷t²

10.

a)

3a¹⁵

b)

9a¹⁵

c)

9a⁸

d)

27a¹⁵

11.

$\frac{5^7}{5^2}$

a)

$5^5$

b)

$5^9$

c)

$5$

d)

9

12.

$\frac{3k^5}{9k^4}$

a)

$3k^9$

b)

$\frac{k}{3}$

c)

$9k^9$

d)

$\frac{3k}{9k}$

13.

$\frac{21x^7y^5}{7x^2y^4}$

a)

$3x^5y$

b)

$\frac{3x^6}{y}$

c)

$3x^9y^9$

d)

$\frac{3}{x^5y}$

14.

$\frac{14b^6c^3}{7b^4c^2}$

a)

$2b^2c$

b)

$2b^{10}c^5$

c)

$\frac{2b^2c}{7}$

d)

$14b^2c$

15.

$\left(\sqrt[3]{4p}\right)^2$

a)

$\left(4p\right)^{\frac{2}{3}}$

b)

$\left(4p\right)^{\frac{3}{2}}$

c)

$4^{\frac{2}{3}}p$

d)

$4^{\frac{3}{2}}p$

16.

$\left(\sqrt[4]{3e}\right)^7$

a)

$\left(3e\right)^{\frac{7}{4}}$

b)

$\left(3e\right)^{\frac{4}{7}}$

c)

$\left(3e\right)^{\frac{4}{1}}$

d)

$\left(3e\right)^{\frac{7}{1}}$

17.

$\sqrt[]{15}$

a)

$15^{\frac{2}{1}}$

b)

$15^{\frac{2}{2}}$

c)

$15^{\frac{1}{2}}$

d)

$15^{\frac{1}{1}}$

18.

$x^2+10x+21$

a)

$x=7,3$

b)

$x=-7,3$

c)

$x=-7,-3$

d)

$x=7,-3$

19.

$3x^2-2x-8$

a)

$x=\frac{-4}{3},-2$

b)

$x=\frac{-3}{4},\ 2$

c)

$x=\frac{3}{4},-2$

d)

$x=\frac{-4}{3},\ 2$

20.

$2x^2-7x+3$

a)

$x=-\frac{1}{2},\ -3$

b)

$x=\frac{1}{2},\ 3$

c)

$x=-\frac{1}{2},\ 3$

d)

$x=\frac{1}{2},\ -3$

21.

$25^k\times5^{10}=5^{100}$

(a)

22.

2² = _____

a)

2

b)

6

c)

4

d)

16

23.

121 = ______

a)

11²

b)

12

c)

11

d)

112

24.

√64

a)

3

b)

8

c)

7

d)

6

25.

Evaluate 12²

a)

144

b)

132

c)

121

d)

24

26.

√9

a)

3

b)

6

c)

4

d)

1

27.

5²

a)

16

b)

25

c)

10

d)

7

28.

√ 81

a)

8

b)

7

c)

10

d)

9

29.

7²

a)

50

b)

49

c)

14

d)

48

30.

√ 16

a)

132

b)

4

c)

2

d)

8

31.

1²

a)

1

b)

0

c)

10

d)

2

32.

What is 5 squared?

5²

a)

2.5

b)

25

c)

125

d)

10

33.

What is the square root of 100?

√100

a)

10

b)

200

c)

50

d)

1000

34.

What is the square root of 36?

√ 36

a)

4

b)

+6

c)

-6

d)

1296

35.

What is 16 squared?

a)

8

b)

256

c)

4

d)

32

36.

200

a)

is a perfect square

b)

is not a perfect square

37.

Which of the following is a perfect square?

a)

39

b)

50

c)

24

d)

81

38.

Which of the following is NOT a perfect square?

a)

1

b)

4

c)

100

d)

8

39.

144

a)

Is a perfect square.

b)

Is not a perfect square.

40.

Which would be the next number in the pattern?
36, 49, 64, 81 __

a)

82

b)

18

c)

64

d)

100

41.

Square roots are the opposite of ____________.

a)

Cube Roots

b)

Squaring

c)

Multiplication

d)

Absolute Value

42.

a⁷×a⁴÷a⁵

a)

a⁷

b)

a⁶

c)

a⁴

d)

a¹¹

43.

Write (4⁷ x 4³) ∕ 4⁴ as a single power

a)

4¹⁴

b)

4¹

c)

4⁸

d)

4⁶

44.

a)

y⁴

b)

y⁵

c)

y⁶

d)

6^y

45.

Calculate 3a⁸ x 4a²

a)

12a¹⁰

b)

12a¹⁶

c)

7a¹⁰

d)

7a¹⁶

46.

What is the Exponent form of $2\times\ 2\ \times\ 2\times2\times2$

a)

$2^5$

b)

$5^2$

c)

32

d)

16

47.

What is the value of $x^2\times\ x^{-3}\ \times\ x\ ^4$

a)

$x^9$

b)

$x^7$

c)

$x^6$

d)

$x^3$

48.

What is the value of $\left(5x\right)^0$

a)

$1x$

b)

$1$

c)

$0$

d)

undefined

49.

simplify $\frac{a^6\times a^7}{a^{13}}$

a)

$a^{26}$

b)

1

c)

0

d)

-1

50.

Write $5x\times5x\times5x\times5x\$ in exponent form

a)

$5x^4$

b)

$\left(5x\right)^4$

c)

$625x$

d)

$none$

51.

$What\ is\ the\ value\ of\ \left(2^2\right)^3$

a)

64

b)

32

c)

8

d)

16

52.

Write 15 x 15 x 15 x 15 x 15 x 15 x 15 in index notation.

a)

$15^{15}$

b)

$15^7$

c)

$15^5$

d)

$7^{15}$

53.

Simplify $f^{-4}\ \times\ \ f^5$ as positive index.

a)

$\frac{f^5}{f^4}$

b)

$\frac{f^{-4}}{f^5}$

c)

$f^{-1}$

d)

$f$

54.

3²x 3⁵

a)

3⁶

b)

3⁷

c)

3⁸

d)

3¹⁰

55.

2b⁶ x 2b¹³

a)

2b¹⁹

b)

2b⁹

c)

4b¹⁹

d)

4b¹²

56.

Simplify the following
3²x 2⁵x 3⁶x 2⁸

a)

3⁸x 2¹²

b)

3¹² x 2⁸

c)

3⁸x 2¹³

d)

2⁸x 3 ¹²

57.

2⁵÷ 2²

a)

1

b)

2³

c)

2⁷

d)

2¹²

58.

a⁵÷ a⁵

a)

a¹

b)

a⁵

c)

1

d)

a

59.

6a⁵÷ 2a²

a)

3a³

b)

12a³

c)

4a¹⁰

d)

2a⁷

60.

Selesaikan yang berikut

a)

2¹⁴ z¹³

b)

2²/z⁷

c)

2¹⁴/ z⁷

d)

2²z⁷

61.

Permudahkan 3²x 2⁵x 3⁶x 2⁸

a)

3⁸x 2¹²

b)

3¹² x 2⁸

c)

3⁸x 2¹³

d)

2⁸x 3 ¹²

62.

(3x²y³)²

a)

9x⁴y⁶

b)

3x⁴y⁵

c)

6x⁴y⁶

d)

9xy

63.

(-4)⁷÷ (-4³) adalah sama dengan...

a)

(-4)⁴

b)

4⁴

c)

-4⁴

d)

4^-4

64.

2a×2a

a)

4a

b)

a²

c)

4a²

d)

4a⁴

65.

3a×2a

a)

6a

b)

a⁶

c)

6a²

d)

a⁵

66.

5a×3a

a)

15a²

b)

30a

c)

15a

d)

a³⁰

67.

a)

x²

b)

x⁶

c)

x⁵

d)

x^-6

68.

a)

y⁴

b)

y⁵

c)

y⁶

d)

6^y

69.

a)

a⁷

b)

a¹

c)

1/a¹²

d)

a¹²

70.

a)

t²⁴

b)

t¹²

c)

t¹⁸

d)

t^-12

71.

a)

12

b)

8

c)

4

d)

2

72.

a)

x⁴

b)

4x³

c)

3x³

d)

4x²

73.

a)

3a¹⁵

b)

9a¹⁵

c)

9a⁸

d)

27a¹⁵

74.

a)

1/4

b)

2/3

c)

2

d)

0.5

75.

a)

1/7

b)

7

c)

24.5

d)

-7

76.

a)

3

b)

9

c)

12

d)

6

77.

a)

1

b)

1/x

c)

x

d)

x^-11

78.

(3x²y³)²

a)

9x⁴y⁶

b)

3x⁴y⁵

c)

6x⁴y⁶

d)

9xy

79.

What is the area of a rectangle if its dimensions are listed below:
length = 10x⁷
width = 7x⁵Hint: Area = (length)(width)

a)

70x¹²

b)

70x³⁵

c)

17x¹²

d)

17x³⁵

80.

Simplify -9⁰

a)

1

b)

-1

c)

-9

d)

9

81.

Simplify (34x⁵y⁶z^-7)⁰

a)

34x⁵y⁶ / z⁷

b)

34x⁵y⁶ / x^-7

c)

0

d)

1

82.

Simplify 5^-2

a)

-10

b)

1/25

c)

1/(5)²

d)

-1/10

83.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

84.

Simplify,

(z³yx) × (x²yz)

a)

z⁴y²x³

b)

6 zyx

c)

3z 2y 3x

d)

z²÷ x

85.

Simplify,

t ^-3 ÷ t^{- 1}

a)

t ²

b)

t ^{- 4}

c)

t^{- 2}

d)

(t^{- 1})²

86.

Simplify:

25 x ⁶

5 x ³

a)

20x³

b)

5x⁹

c)

5x³

Indices

Total questions: 86

Worksheet time: 2hrs 8mins

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