Free Printable Indices

1.

Write 6²x 6³as a single power

a)

7776

b)

6⁶

c)

6⁵

d)

36⁵

2.

Write 9⁵ ÷ 9³ as a single power

a)

9²

b)

9⁸

c)

9¹⁵

3.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

4.

a⁷×a⁴÷a⁵

a)

a⁷

b)

a⁶

c)

a⁴

d)

a¹¹

5.

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

a)

4¹⁴

b)

4¹

c)

4⁸

d)

4⁶

6.

a³×a⁴

a)

7a

b)

12a

c)

a¹²

d)

a⁷

7.

(3x²y³)²

a)

9x⁴y⁶

b)

3x⁴y⁵

c)

6x⁴y⁶

d)

9xy

8.

Write 2 x 2 x 2 x 2 in index form

a)

2³

b)

2⁵

c)

16

d)

2⁴

9.

Write 6²x 6³as a single power

a)

7776

b)

6⁶

c)

6⁵

d)

36⁵

10.

Write 9⁵ ÷ 9³ as a single power

a)

9²

b)

9⁸

c)

9¹⁵

11.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

12.

Simplify 4⁰

a)

1

b)

4

c)

0

13.

Simplify 4⁷ ÷ 4³

a)

4¹⁰

b)

4

c)

4²¹

d)

4⁴

14.

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

a)

4¹⁴

b)

4¹

c)

4⁸

d)

4⁶

15.

Evaluate 1² + 2² + 3²

a)

6

b)

12

c)

14

d)

11

16.

Evaluate the expression using the quotient rule.

a)

2¹⁴ z¹³

b)

2²/z⁷

c)

2¹⁴/ z⁷

d)

2²z⁷

17.

Simplify

a)

A

b)

B

c)

C

d)

D

18.

a×a×a

a)

3a

b)

3a³

c)

a³

d)

3a²

19.

a³×a⁴

a)

7a

b)

12a

c)

a¹²

d)

a⁷

20.

9a+a

a)

9a²

b)

9a

c)

10a

d)

11a

21.

a×a×a×a

a)

4a

b)

a⁴

c)

4a⁴

d)

2a²

22.

a²×a⁴

a)

6a

b)

6a²

c)

a⁶

d)

8a²

23.

5a×3a

a)

15a²

b)

30a

c)

15a

d)

a³⁰

24.

a×a⁸

a)

a⁸

b)

2a⁸

c)

a⁹

d)

2a⁹

25.

7a+3a

a)

21a²

b)

10a²

c)

21a

d)

10a

26.

3y² x 2y³

a)

6y⁵

b)

5y⁵

c)

6y⁶

27.

a×a×a

a)

3a

b)

3a³

c)

a³

d)

3a²

28.

a×a×a×a

a)

4a

b)

a⁴

c)

4a⁴

d)

2a²

29.

Write $x\times x\times x\times x\times x\times x$ in index form

a)

$6x$

b)

$x^6$

c)

$6x^6$

d)

$6$

30.

Write $x\times x\times x\times x\times x\times x$ in index form

a)

$6x$

b)

$x^6$

c)

$6x^6$

d)

$6$

31.

$3a^2b^3$ in expanded form is:

a)

$3\times a^2\times b^3$

b)

$3\times2a\times3b$

c)

$3\times a\times a\times b\times b\times b$

d)

$18\times a\times b$

32.

Write 12 x 12 x 12 x 12 x 12 x 12 x 12 in index form

a)

12⁶

b)

12⁷

c)

12⁸

d)

12⁵

33.

a)

a⁷

b)

a¹

c)

1/a¹²

d)

a¹²

34.

Express the following in index notation.

5\times m\times m\times m\times m

a)

$5\times4^m$

b)

$5\times m^4$

c)

$20^m$

d)

$5m^4$

35.

Express the following in index notation.

p\times q\times p\times q\times p\times p

a)

$p^6q^6$

b)

$p^4q^2$

c)

$pq^6$

d)

$p^q$

36.

Express the following in index notation.

5\times k\times k\times k\times h\times h\times h\times h\times3

a)

$15h^4k^3$

b)

$53\times k^3h^4$

c)

$35\times h^4k^3$

d)

$5\times3\times h^4\times k^3$

37.

Find the value of

1^8

a)

81

b)

18

c)

8

d)

1

38.

Find the value of

6^8

a)

1679616

b)

262144

c)

48

d)

68

39.

Find the value of

3^5

a)

125

b)

243

c)

15

d)

35

40.

Express b² in expanded form

a)

b+b

b)

b+b+b

c)

b×b

d)

2×b

41.

Which is equivalent to 5 x 5 x 5 x 5

a)

5³

b)

5⁴

c)

4⁵

d)

5⁵

42.

How do you use indices to represent numbers?

a)

repeated multiplication

b)

repeated addition

c)

repeated subtraction

d)

repeated division

43.

what is the base number?

(a)

44.

What is the index number?

(a)

45.

Which is the expanded form?

a)

3 + 3 + 3

b)

3 x 3 x 3

c)

3 x 3

d)

3 + 3 + 3 + 3

46.

$3a^2b^3$ in expanded form is:

a)

$3\times a^2\times b^3$

b)

$3\times2a\times3b$

c)

$3\times a\times a\times b\times b\times b$

d)

$18\times a\times b$

47.

Simplify $2t^3\times3t^4$

a)

$5t^7$

b)

$6t^{12}$

c)

$6t^7$

d)

$5t^{12}$

48.

Simplify $\frac{d^{11}}{d^3}$

a)

$d\ ^{14}$

b)

$d\ ^{\frac{11}{3}}$

c)

$\frac{11}{3}$

d)

$d^{\ 8}$

49.

Simplify $\left(a^4\right)^3$

a)

$a^{12}$

b)

$a^7$

c)

$a^{64}$

d)

$a^{43}$

50.

Simplify $\left(3d^{\ 3}\right)^2$

a)

$6d^{\ 6}$

b)

$6d^{\ 5}$

c)

$9d^{\ 6}$

d)

$9d\ ^5$

51.

Evaluate $4d^{\ 0}$

a)

$1$

b)

$4d$

c)

$4$

d)

$0$

52.

Simplify $\left(ab\right)\ ^4$

a)

$ab\ ^4$

b)

$4ab$

c)

$a^4\ b^4$

d)

$ab$

53.

Simplify $\left(\frac{a}{b}\right)^3$

a)

$\frac{a^3}{b}$

b)

$\frac{a^{ }}{b^3}$

c)

$\frac{a}{b}$

d)

$\frac{a^3}{b^3}$

54.

Simplify $k^7\times k^2\div k^5$

a)

$k^4$

b)

$k^9$

c)

$k^{14}$

d)

$k^{19}$

55.

Simplify $\frac{9x^2y^5}{3x^3y^2}$

a)

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

b)

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

c)

$3xy^3$

d)

$6xy^3$

56.

(-4)⁷÷ (-4³) is equivalent to

a)

(-4)⁴

b)

4⁴

c)

-4⁴

d)

4^-4

57.

(-2⁶)⁵ is equivalent to

a)

-2

b)

(-2)¹¹

c)

2³⁰

d)

-2³⁰

58.

Simplify,

t ^-3 ÷ t^{- 1}

a)

t ²

b)

t ^{- 4}

c)

t^{- 2}

d)

(t^{- 1})²

59.

Simplify,

(z³yx) × (x²yz)

a)

z⁴y²x³

b)

6 zyx

c)

3z 2y 3x

d)

z²÷ x

60.

Write without brackets

(2 x y²)²

a)

2 x²y⁴

b)

2 x y⁴

c)

4 x²y⁴

d)

2 ( 2 x y²)

Indices

Total questions: 60

Worksheet time: 2hrs 51mins

Similar Resources on Wayground