Free Printable EXPONENTS ......all types

1.

Simplify the expression:
c⁴⋅c³=

a)

^c12

b)

c⁴⁺³

c)

c⁷

2.

Simplify the expression: 3x²⋅x²=

a)

3x

b)

3x²⁺²

c)

3x⁴

3.

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

a)

add

b)

subtract

c)

multiply

d)

divide

4.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

5.

Simplify 4^-2=

a)

1/16

b)

-16

c)

1/4

d)

-42

6.

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

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

7.

x⁶ / x²

a)

x⁴

b)

x¹²

c)

x³

d)

x⁸

8.

a)

b)

c)

d)

9.

a)

b)

c)

d)

10.

a)

b)

c)

d)

11.

Simplify the following expression:
xy^-7

a)

xy⁷

b)

x/y⁷

c)

x⁷/y

d)

x⁷y

12.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

13.

-4x⁰

a)

-4x

b)

-4

c)

1

d)

-1

14.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

15.

Simplify

(2a²b⁴z)(6a³b²z⁵)

a)

8a⁵b⁶z⁶

b)

12a⁶b⁸z⁵

c)

12a⁵b⁶z⁶

d)

8a⁶b⁸z⁵

16.

Simplify

a)

x⁴/3

b)

3x¹⁰

c)

36x¹⁰

d)

3x⁴

17.

Which number is the BASE? $2^7$ =128

a)

2

b)

7

c)

128

d)

$2^7$

18.

$365^0=$

a)

0

b)

1

c)

365

d)

$\frac{1}{365}$

19.

If a number or variable does not have an exponent, we can assume the exponent is:

a)

0

b)

1

20.

$m^2\cdot m^6\cdot m=$

a)

$m^8$

b)

$m^{12}$

c)

$m^4$

d)

$m^9$

21.

$x^{-3}\cdot x^7\cdot x^2$ =

a)

$x^6$

b)

$x^{12}$

c)

$x^{-42}$

d)

$x^{-12}$

22.

$\frac{x^9}{x^4}$ =

a)

$x^{13}$

b)

$x^{36}$

c)

$x^5$

d)

$x^{-5}$

23.

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

a)

$3x^2$

b)

$3x$

c)

$9x$

d)

$6x$

24.

$\left(x^5\right)^4$

The power of a power rule says that when an exponential expression is raised to a power (as shown above), you should _________ the inner and outer exponents

a)

add

b)

subtract

c)

multiply

d)

divide

25.

$\left(a^3b^5\right)^7$ =

a)

$a^3b^{35}$

b)

$a^{10}b^{12}$

c)

$a^8b^8$

d)

$a^{21}b^{35}$

26.

a)

9^-4

b)

9^-45

c)

3^-4

d)

3^-45

27.

a)

0

b)

3

c)

1

d)

-1

28.

a)

25⁶⁰

b)

25¹⁷

c)

5⁶⁰

d)

5¹⁷

29.

a)

3^-5 = 1/3⁵

b)

3⁵

c)

3⁴²

d)

1/9

EXPONENTS ......all types

Total questions: 29

Worksheet time: 2hrs 25mins

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