Free Printable Properties of Exponents

1.

Which is equivalent to 5 x 5 x 5 x 5

a)

5³

b)

5⁴

c)

4⁵

d)

5⁵

2.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

d)

not here

3.

Which number is the EXPONENT?
4^{2 =}16

a)

4

b)

2

c)

16

d)

not here

4.

7^-2

a)

49

b)

10/49

c)

-49

d)

1/49

5.

What is 10⁰equivalent to?

a)

1

b)

10

c)

0

d)

100

6.

(r⁴)⁶

a)

10r

b)

r¹⁰

c)

24r

d)

r²⁴

7.

$3x^2\cdot3x\cdot2x^{-3}$

a)

18

b)

$x^0$

c)

1

d)

18x

8.

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

a)

$mn^7$

b)

$m^6n^4$

c)

$m^5n^4$

d)

$mn$

9.

$\left(9y\right)^3$

a)

$9y^3$

b)

$9^3y$

c)

$27y^3$

d)

$729y^3$

10.

What is $4\cdot4\cdot a\cdot a\cdot a$ in exponential form?

a)

$4a^3$

b)

$3a^4$

c)

$4a$

d)

$4^2a^3$

11.

Simplify

(v⁵)(v⁵)

a)

v¹⁰

b)

v²⁵

c)

2v¹⁰

d)

2v²⁵

12.

Simplify

(2x³)(4x⁵)

a)

8x⁸

b)

6x⁸

c)

6x¹⁵

d)

8x¹⁵

13.

Simplify

(-4m²)(m²)

a)

-4m⁴

b)

-3m⁴

c)

-3m²

14.

Simplify

(2a²b⁴z)(6a³b²z⁵)

a)

8a⁵b⁶z⁶

b)

12a⁶b⁸z⁵

c)

8a⁶b⁸z⁵

d)

12a⁵b⁶z⁶

15.

Simplify (2⁴)(2⁵)

a)

2⁹

b)

4⁹

c)

2²⁰

d)

4²⁰

16.

(12x³y)²

a)

24x⁶y²

b)

144x⁵y³

c)

144x⁶y²

d)

24x⁵y³

17.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

18.

Simplify $5x^3\ •\ 2x^2$

a)

10x⁵

b)

3x

c)

10x⁶

d)

7x⁵

19.

Match the following

a)

$x^3x^4$

1.

x⁷

b)

$\left(x^3\right)^4$

2.

x¹²

c)

$\left(xy\right)^4$

3.

x⁴y⁴

d)

$\frac{x^6}{x^4}$

4.

x²

20.

Simplify

$\left(cd\right)^{11}$

a)

$cd$

b)

$c^{11}d^{11}$

c)

$cd^{11}$

d)

$c^1d^1$

21.

Simplify

$x^{-3}$

a)

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

b)

$x^3$

c)

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

d)

$x$

22.

(2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

23.

When dividing powers with the same base, you _______________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

24.

According to exponent rules, when we raise a power to another exponent we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

25.

In order to multiply powers with the same base, we add their exponents.

a)

True

b)

False

26.

x⁶ / x²

a)

x⁴

b)

x¹²

c)

x³

d)

x⁸

27.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

28.

(8⁵)³

a)

8⁸

b)

8²

c)

8¹⁵

d)

1/8²

29.

Simplify the expression

8^{-23}

a)

$8^{23}$

b)

$\frac{1}{8^{-23}}$

c)

$\frac{1}{23}$

d)

$\frac{1}{8^{23}}$

30.

(4x³)²

a)

8x⁵

b)

8x⁶

c)

16x⁵

d)

16x⁶

31.

a)

4y⁶

b)

4y²²

c)

30y⁶

d)

30y²²

32.

Which expression is equivalent (equal) to

a)

10^-12

b)

10^-6

c)

1/10⁶

d)

1/10¹²

33.

Which expression is equivalent (equal) to

a)

6³

b)

6⁴

c)

6²

d)

6⁶

Properties of Exponents

Total questions: 33

Worksheet time: 35mins

Similar Resources on Wayground