Free Printable Law of indices

1.

$x^3\left(2x+x\right)=$ (2012Practice Q1)

a)

$3x^4$

b)

$2x^5$

c)

$3x^5$

d)

$2x^6$

2.

$\frac{\left(2x^4\right)^3}{2x^5}=$ (2012Q1)

a)

$3x^2$

b)

$3x^7$

c)

$4x^7$

d)

$4x^{59}$

3.

$\left(27\cdot9^{n+1}\right)^3=$ (2013Q1)

a)

$3^{6n+12}$

b)

$3^{6n+15}$

c)

$3^{9n+12}$

d)

$3^{9n+18}$

4.

$\left(2n^3\right)^{-5}=$ (2014Q1)

a)

$\frac{1}{32n^2}$

b)

$\frac{1}{32n^{15}}$

c)

$\frac{1}{10n^{125}}$

d)

$\frac{1}{10n^{243}}$

5.

$\frac{\left(3y^6\right)^4}{3y^2}=$ (2015Q2)

a)

$4y^5$

b)

$4y^8$

c)

$27y^{12}$

d)

$27y^{22}$

6.

$8^{222}\cdot5^{666}=$ (2016Q1)

a)

$10^{666}$

b)

$10^{888}$

c)

$40^{666}$

d)

$40^{888}$

7.

$\left(\frac{1}{9^{555}}\right)3^{444}=$ (2017Q2)

a)

0

b)

$\frac{1}{3^{111}}$

c)

$\frac{1}{3^{222}}$

d)

$\frac{1}{3^{666}}$

8.

$\frac{8^{2n+1}}{4^{3n+1}}=$ (2018Q1)

a)

1

b)

2

c)

$2^n$

d)

$2^{-n}$

9.

$\frac{\left(6x^7\right)^2}{4x^5}=$ (2019Q2)

a)

$3x^4$

b)

$9x^4$

c)

$3x^9$

d)

$9x^9$

10.

$\frac{6x}{\left(3x^{-5}\right)^{-2}}=$ (2020Q1)

a)

$54x^8$

b)

$\frac{2x^8}{3}$

c)

$\frac{54}{x^9}$

d)

$\frac{2}{3x^9}$

Law of indices

Total questions: 10

Worksheet time: 20mins

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