Free Printable Topic 2: Indices (1-4)

1.

In the expression $6^2$

a)

the base is 6

the index is 2

b)

the base is 2

the power is 6

c)

the power is 6

the index is 2

d)

the power is 2

the index is 6

2.

What is $3^4$ when written in expanded notation

a)

$3\times\ 3\times3\times3$

b)

$4\times4\times4$

c)

$3\times4$

d)

$3+3+3+3$

e)

$4+4+4$

3.

What is $5^3$ when written in expanded notation?

a)

$3\times5$

b)

$5+5+5$

c)

$5\times5\times5$

d)

$3\times3\times3\times3\times3$

4.

What is $8\times8\times8\times8\times8\times8$ in index notation?

a)

$6\times8$

b)

$8^6$

c)

$6^8$

5.

Match the expressions

a)

$5\times\ 5\times\ 5$

1.

$5^3$

b)

$5\times\ 3$

2.

$15$

c)

$3\times\ 3\times\ 3\times\ 3\times\ 3$

3.

$3^5$

6.

2x2x2x2x2=

a)

$2^4$

b)

$2^2$

c)

$2^5$

d)

$16$

7.

What is 6⁷in expanded form?

a)

6 x 6 x 6 x 6 x 6 x 6 x 6

b)

6 + 6 + 6 + 6 + 6 + 6

c)

6 x 7

8.

Write in index notation. 7 x 7 x 7 x 7 x 7 x 10

a)

7⁵+ 10

b)

7⁵x 10

c)

7⁵x 10¹

9.

2⁵ is the same as 2 x 5.

a)

True

b)

False

10.

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

11.

p⁴

What is the base of the number given?

a)

1

b)

p

c)

4

d)

p⁴

12.

m⁸

What is the index of the number given?

a)

1

b)

8

c)

m

d)

m⁸

13.

b×b×b×b in index form is equal to

a)

4b

b)

b⁴

c)

b³

d)

2b²

14.

Write the following in index form; 2 x 2 x a x a x b

a)

4a²b

b)

2²a²b

c)

2²ab³

d)

4ab²

15.

Write in index notation. 2 x 3 x 3 x 5 x 5 x 5 x 2

a)

2 x 3² x 5²

b)

2² + 3² + 5³

c)

2² x 3² x 5³

16.

Write 9⁵ ÷ 9³ as a single power

a)

9²

b)

9⁸

c)

9¹⁵

d)

9¹⁰

17.

Write 6²x 6³as a single power

a)

7776

b)

6⁶

c)

6⁵

d)

36⁵

18.

Find a¹⁰ ÷ a²

a)

a⁸

b)

a⁵

c)

a¹²

d)

a¹⁰²

19.

Write 5²x 5³as a single power

a)

3125

b)

5⁶

c)

5⁵

d)

25⁵

20.

Match the expressions

a)

$6^4\times6^5$

1.

$6^9$

b)

$6^8\times\ 6^7$

2.

$6^{15}$

c)

$6^{10}\div6^6$

3.

$6^4$

d)

$6^{12}\div6^9$

4.

$6^{3\ }$

e)

$6^{19}\div6^9$

5.

$6^{10}$

21.

Match the expressions

a)

$7^2\times2^9$

1.

$7^{11}$

b)

$7^9\times\ 7^7$

2.

$7^{16}$

c)

$7^{10}\div7^6$

3.

$7^4$

d)

$7^2\div7^9$

4.

$7^{-7}$

e)

$7\times7^{11}$

5.

$7^{12}$

Topic 2: Indices (1-4)

Total questions: 21

Worksheet time: 13mins

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