Free Printable Indices

1.

Write 9⁵ ÷ 9³ as a single power

a)

9²

b)

9⁸

c)

9¹⁵

2.

(3x²y³)²

a)

9x⁴y⁶

b)

3x⁴y⁵

c)

6x⁴y⁶

d)

9xy

3.

What is the area of a rectangle if its dimensions are listed below:
length = 10x⁷
width = 7x⁵Hint: Area = (length)(width)

a)

70x¹²

b)

70x³⁵

c)

17x¹²

d)

17x³⁵

4.

Simplify.

a)

A

b)

B

c)

C

d)

D

5.

Evaluate the expression using the quotient rule.

a)

2¹⁴ z¹³

b)

2²/z⁷

c)

2¹⁴/ z⁷

d)

2²z⁷

6.

a)

x²

b)

x⁶

c)

x⁵

d)

x^-6

7.

a)

y⁴

b)

y⁵

c)

y⁶

d)

6^y

8.

a)

z¹

b)

1

c)

0

d)

z^-1

9.

a)

a⁷

b)

a¹

c)

1/a¹²

d)

a¹²

10.

a)

t²⁴

b)

t¹²

c)

t¹⁸

d)

t^-12

11.

a)

x⁴

b)

4x³

c)

3x³

d)

4x²

12.

a)

3y⁶

b)

6y³

c)

4y⁶

d)

3y⁴

13.

a)

1

b)

1/x

c)

x

d)

x^-11

14.

$-7^3$ is equivalent to

a)

$-\left(-7^3\right)$

b)

$-\left(7^3\right)$

c)

$-\left(7^{-\frac{1}{2}}\right)^6$

d)

$\left(\left(-7\right)^2\times7^3\right)^{\frac{1}{2}}$

15.

(-4)⁷÷ (-4³) is equivalent to

a)

(-4)⁴

b)

4⁴

c)

-4⁴

d)

4^-4

16.

Simplify,

t ^-3 ÷ t^{- 1}

a)

t ²

b)

t ^{- 4}

c)

t^{- 2}

d)

(t^{- 1})²

17.

Simplify,

(z³yx) × (x²yz)

a)

z⁴y²x³

b)

6 zyx

c)

3z 2y 3x

d)

z²÷ x

18.

Write without brackets

(2 x y²)²

a)

2 x²y⁴

b)

2 x y⁴

c)

4 x²y⁴

d)

2 ( 2 x y²)

19.

Write $3^2\times\left(\frac{1}{3^4}\right)$

as a SINGLE power in its simplest form

a)

$3^2$

b)

$-3^2$

c)

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

d)

$3^{-2}$

20.

Simplify $\left(x^{\frac{3}{4}}y\right)^{-\frac{1}{3}}$

a)

$x^{\frac{3}{4}}y^{-\frac{1}{3}}$

b)

$x^{-\frac{1}{4}}y^{-\frac{1}{3}}$

c)

$-\frac{1}{3}\left(x^{\frac{3}{4}}y\right)$

d)

$1\div\left(x^{\frac{1}{4}}y^{\frac{1}{3}}\right)$

21.

Simplify

$-\frac{5p^0t^{-5}}{2^{-1}m^2}$

a)

$\frac{5p}{2t^{5\ }m^2}$

b)

$10m^2t^5$

c)

$\frac{\left(-5\right)^{2\ }}{t^5m^2}$

d)

$-\frac{10}{t^5m^2}$

22.

$\left(\frac{5c}{d^2}\right)^2$ Simplify

a)

$\frac{5c^2}{d^4}$

b)

$\frac{25c^2}{d^4}$

c)

$\frac{5c^2}{d^2}$

d)

it is simplified!

23.

Calculate 11a⁵ x 8a⁷

a)

88a¹²

b)

88a³⁵

c)

19a¹²

d)

19a³⁵

24.

If 8^x = 32^1.5, What is the value of x?

a)

1.5

b)

2.5

c)

3

d)

4

25.

Evaluate 8^1/3* 4^-1/2

a)

8

b)

4

c)

2

d)

1

26.

If 5ⁿ= 125 find n.

a)

25

b)

1/3

c)

-3

d)

3

27.

Evaluate 27^-1/3 * 49^-1/2* 125⁰

a)

210

b)

21

c)

1/21

d)

1

28.

Solve 16^{2x - 1}= 64

a)

1.5

b)

1.25

c)

4/5

d)

-1.25

29.

$\frac{\left(x^7\right)^5}{x^5}$

a)

$x^{30}$

b)

$x^7$

c)

$x^5$

30.

Which expression is equivalent to the following?

a)

32x³y⁴

b)

32x⁹y¹³

c)

16x⁸y¹²

d)

16x⁶y⁷

Indices

Total questions: 30

Worksheet time: 1hrs 5mins

Similar Resources on Wayground