Free Printable 3C - Index Notation & Multiplication of Indices

1.

Index form:
$a^n$ = a to the power of n

Which is represent to base?

a)

a

b)

n

2.

Index form:
$a^n$ = a to the power of n

Which is represent to index?

a)

a

b)

n

3.

$3^6$

Which is the base of the number given?

a)

3

b)

6

4.

$4^5$

Which is the index of the number given?

a)

4

b)

5

5.

$5\times5\times5\times5\times5\times5\times5$

Write the repeated multiplication in index form, $a^n$ .

a)

$5^5$

b)

$5^7$

c)

$7^5$

d)

$78125$

6.

$\left(-3\right)\times\left(-3\right)\times\left(-3\right)\times\left(-3\right)\times\left(-3\right)$

Write the repeated multiplication in index form, $a^n$ .

a)

$\left(-3\right)^5$

b)

$3^5$

c)

$243$

d)

$-243$

7.

What is $2^3$ in expended form?

a)

$2\times2\times2$

b)

$3\times3$

c)

$2\times3$

d)

$3\times2$

8.

Multiplication of indices:

a^m\times a^n

= ??

a)

$a^{m+n}$

b)

$a^{m-n}$

c)

$a^{m\times n}$

d)

$a^{m\div n}$

9.

$m^3\times m=\ ??$

a)

$m$

b)

$m^4$

c)

$m^3$

d)

$m^2$

10.

$2^{-5}\times2^8=\ ??$

a)

$2$

b)

$2^{13}$

c)

$2^8$

d)

$2^3$

11.

$4w^2\times5w^6$

a)

$20w^8$

b)

$20w^4$

c)

$4w^8$

d)

$5w^8$

12.

Simplify $\frac{1}{6}m^5\times24m$ .

a)

$4m^6$

b)

$4m^4$

c)

$4m^5$

d)

$\frac{1}{2}m^5$

13.

Express $\frac{256}{625}$ in index notation with the base $\frac{4}{5}$ .

a)

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

b)

$\left(\frac{4}{5}\right)^4$

c)

$\left(\frac{5}{4}\right)^4$

d)

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

14.

Express $7\times7\times7\times7$ in index notation.

a)

$7\times4$

b)

$4\left(7\right)$

c)

$4^7$

d)

$7^4$

15.

Simplify 9³x 9⁴.

a)

9¹²

b)

9⁷

c)

81⁷

d)

9^-1

3C - Index Notation & Multiplication of Indices

Total questions: 15

Worksheet time: 30mins

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