Free Printable Law of Indices

1.

2^2\times2^{-2}

a)

$2^1$

b)

4

c)

$2^{-1}$

d)

1

2.

What is the correct law for multiplication? a^m x aⁿ=

a)

a^m+n

b)

a^m + aⁿ

c)

a^mxn

d)

a^mⁿ

3.

Simplify: 3x³ × 6x⁸

a)

18x¹¹

b)

18x²⁴

c)

9x¹¹

d)

9x²⁴

4.

Simplify: 3x² × (2x)³ × x⁶

a)

24x¹¹

b)

24x⁹

c)

6x¹¹

d)

6x⁹

5.

Simplify: w²⁴ ÷ w⁸

a)

w¹⁶

b)

w³

c)

w³²

d)

w^24/8

6.

What is the correct law for powers of powers? (a^m)ⁿ =

a)

a^mxn

b)

a^m+n

c)

a^m x aⁿ

d)

a^men

7.

What is the correct law for division? a^m ÷ aⁿ =

a)

a^m-n

b)

a^m - aⁿ

c)

a^m÷n

d)

a^m/n

8.

$\frac{x^4}{x}=$

a)

$\left(x\div1\right)^4$

b)

$x^{\left(4\div1\right)}$

c)

$x^{\left(4-0\right)}$

d)

$x^{\left(4-1\right)}$

9.

$\left(2^4\right)^3=$

a)

$8^3$

b)

$2^7$

c)

$2^{12}$

d)

$8^{12}$

10.

$2^0-3^0=$

a)

$2-3$

b)

$1-0$

c)

$1-1$

d)

$\left(2-3\right)^0$

11.

$-3^2=$

a)

$6$

b)

$-6$

c)

$9$

d)

$-9$

12.

$2^{-3}=$

a)

$-8$

b)

$-6$

c)

$\frac{1}{8}$

d)

$2^{\frac{1}{3}}$

13.

What is 4⁶÷4²

a)

4³

b)

4⁴

14.

What is x⁵÷x

a)

x⁵

b)

x⁴

c)

x³

d)

x²

Law of Indices

Total questions: 14

Worksheet time: 34mins

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