Free Printable Indices Test 2

1.

Simplify (y⁹)^-2

a)

$y^{18}$

b)

$y^{11}$

c)

$\frac{1}{y^{18}}$

d)

$\frac{y^9}{2}$

2.

Write $\frac{\left(a^7\times a^3\right)}{a^2}$ as a single power

a)

$a^2$

b)

$a^8$

c)

$a^4$

d)

$a^6$

3.

Simplify: (4pq³)² ÷ (2p²q)³

a)

2p^-4q³

b)

8p⁴q³

c)

16p⁴q²

d)

4p^-4q²

4.

Simplify $\ \ \ \ \ \frac{\left(5x^3\right)^2\left(2x^5\right)}{\left(10x^4\right)^2}$

a)

$10x^3$

b)

$\frac{x^4}{2}$

c)

$x^3$

d)

$20x^8$

5.

Simplify the following expression:

xy^-7

a)

$x^{ }y^7$

b)

$\frac{x}{y^7}$

c)

$\frac{x^7}{y}$

d)

$x^7y$

6.

What is the missing index?(2⁶)^x = 2¹⁸

a)

12

b)

3

c)

10

d)

4

7.

Put $4^{-1}$ into positive index form

a)

$\frac{1}{4}$

b)

$\frac{1}{8}$

c)

-4

d)

$\frac{4}{1}$

8.

Simplify $\left(\frac{4}{c}\right)^3$

a)

$\frac{12}{c^3}$

b)

$\frac{12}{c}$

c)

$12c^3$

d)

$\frac{4}{3c}$

9.

Simplify $5\left(h^2j^3k\right)^3$

a)

$15h^6j^9k^3$

b)

$5^3h^6j^9k^3$

c)

$5h^6j^9k^3$

d)

$125h^6j^9k^3$

10.

Simplify: $\left(\frac{-2wx^3}{5y^2}\right)^3$

a)

$\frac{-6w^3x^{9\ }}{15y^6}$

b)

$\frac{-2^3w^3x^3}{5^3y^3}$

c)

$\frac{-2^3w^3x^{9\ }}{5^3y^6}$

d)

$\frac{-8w^3x^9}{125y^6}$

Indices Test 2

Total questions: 10

Worksheet time: 19mins

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