Free Printable QUIZ 1 : INDICES

1.

m x m x m

a)

m³

b)

3m

c)

m³x²

d)

mxmxm

2.

$\left(m^2\right)^3$

a)

$m^6$

b)

$m^5$

c)

$\frac{1}{m}$

d)

$\left(\frac{m}{n}\right)^2$

3.

$m^2\times m^3$

a)

$m^6$

b)

$m^5$

c)

$\frac{1}{m}$

d)

$\left(\frac{m}{n}\right)^2$

4.

Write 9⁵ ÷ 9³ as a single power

a)

9²

b)

9⁸

c)

9¹⁵

5.

Evaluate (find the value of) the following:

\frac{3^{4\ }\times5^2}{3^2\times5^6}\

a)

0.0144

b)

$\frac{15^6}{15^8}$

c)

$15^{-2}$

d)

4.444

6.

Simplify the following, giving your answers with positive indices:

\left(4a^2b\right)\times\left(6ab^{ }\right)

a)

$24a^2b^2$

b)

$24a^3b$

c)

$24a^3b^2$

d)

$10a^3b^2$

7.

Evaluate 2³+ 3²

a)

72

b)

36

c)

12

d)

17

8.

36a⁸b⁷÷ 30ab³

a)

5/6 a⁸b⁴

b)

6/5 a⁷b³

c)

6/5 a³b⁷

d)

5/6 a⁷b³

9.

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

a)

1.5

b)

2.5

c)

3

d)

4

10.

Solve $25^{x+2}=\frac{1}{625^x}$ .

a)

$x=-\frac{2}{3}$

b)

$x=\frac{2}{3}$

c)

$x=-\frac{3}{2}$

d)

$x=\frac{3}{2}$

11.

Solve $4^{2x-1}=64^x$ .

a)

$x=1$

b)

$x=-1$

c)

$x=-\frac{1}{4}$

d)

$x=\frac{1}{4}$

12.

Solve $3^{a-2}\times27^a=\frac{1}{81}$ .

a)

$a=-2$

b)

$a=\frac{1}{2}$

c)

$a=2$

d)

$a=-\frac{1}{2}$

13.

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

a)

12

b)

3

c)

10

d)

4

14.

Simplify $\frac{9x^2y^5}{3x^3y^2}$

a)

$\frac{3y^3}{x}$

b)

$\frac{6y^3}{x}$

c)

$3xy^3$

d)

$6xy^3$

15.

Simplify: 42m¹² ÷ 7m⁶

a)

6m⁶

b)

6m²

c)

35m⁶

d)

35m²

16.

(y⁹)^-2

a)

y¹⁸

b)

y¹¹

c)

1/y¹⁸

d)

y⁹/2

17.

Write 6²x 6³as a single power

a)

7776

b)

6⁶

c)

6⁵

d)

36⁵

18.

(3x²y³)²

a)

9x⁴y⁶

b)

3x⁴y⁵

c)

6x⁴y⁶

d)

9xy

19.

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

20.

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

a)

$\frac{3}{4}$

b)

$\frac{3^6}{4^7}$

c)

$\frac{3^8}{4^{12}}$

d)

$\frac{3^3}{4^3}$

QUIZ 1 : INDICES

Total questions: 20

Worksheet time: 24mins

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