Free Printable Exponent Laws

1.

Simplify

\left(\frac{2x^3}{y^2}\right)^3

a)

$\frac{8x^9}{y^6}$

b)

$\frac{6x^9}{y^5}$

c)

$\frac{6x^5}{y^5}$

d)

$\frac{8x^6}{y^6}$

2.

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

Simplify

a)

$\frac{x^2y^2}{mw^3}$

b)

$\frac{x^4y^4}{mw}$

c)

$\frac{xy}{m^2w^5}$

d)

$\frac{x^2y^4}{m^2w^6}$

3.

Simplify

$\left(3x^4\times4y^7+2w^3y^7\right)^0$

a)

$12x^4y^7+2w^3y^7$

b)

0

c)

1

d)

$12xy^{11}+2wy^{10}$

4.

Simplify $\left(5x^3\right)^2$

a)

$8x^{15}$

b)

$25x^6$

c)

$9x^4$

d)

$\frac{1}{3125x^5}$

5.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

6.

According to exponent rules, when we multiply powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

7.

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

a)

add

b)

subtract

c)

multiply

d)

divide

8.

Rewrite using a positive exponent.
7^-10

a)

¹/_7¹⁰

b)

7¹⁰

c)

¹/_7^-10

d)

-70

9.

Rewrite using a positive exponent.
g^-7

a)

¹/_g⁷

b)

g⁷

c)

¹/_g^-7

d)

-g⁷

10.

Rewrite each expression with a negative exponent.
¹/_(-5)⁷

a)

(-5)⁷

b)

¹/_(-5)^-7

c)

(-5)^-7

d)

¹/_78,125

11.

Simplify.

a)

y⁶⁰

b)

¹/_y¹⁶

c)

y^-16

d)

y⁴

12.

Simplify. $\left(5y^3z^2\right)^5$

a)

$5^5y^{15}z^{10}$

b)

$5^5y^8z^7$

13.

Simplify. $\left(m^3\right)^5$

a)

$m^8$

b)

$m^{15}$

c)

$8m$

d)

$15m$

14.

Simplify. $\left(2cd^2\right)^4$

a)

$2^4c^4d^6$

b)

$2^4c^4d^8$

15.

$\left(x^5y^7\right)^3\ =\ x^{15}y^{21}$

a)

True

b)

False

16.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

17.

Simplify the expression: 3x²⋅x²=

a)

3x

b)

3x²⁺²

c)

3x⁴

18.

Simplify the expression: r⁶⋅r²⋅r³=

a)

r⁶⁺²⁺³

b)

r¹¹

c)

11r

19.

Write the exponent form of this expression: n⋅n⋅n⋅s⋅s⋅s⋅2⋅2=

a)

2²⋅n³⋅s³

b)

2²ns⁶

c)

4(3n)(3s)

20.

Simplify the following expression:

2x³y⁵ ⋅ 5xy²

a)

10x⁴y⁷

b)

7x⁴y⁷

c)

10x³y¹⁰

d)

7x³y¹⁰

21.

Simplify the following expression:

(2a²b⁴z)(6a³b²z⁵)

a)

8a⁵b⁶z⁶

b)

12a⁶b⁸z⁵

c)

12a⁵b⁶z⁶

d)

8a⁶b⁸z⁵

22.

What special word do you use for the exponent of 3?

a)

squared

b)

cubed

c)

triangled

d)

boxed

23.

What special word do you use for the exponent of 2?

a)

squared

b)

cubed

c)

triangled

d)

boxed

24.

Simplify this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

25.

Simplify the expression.

a)

7⁶

b)

7^-5

c)

1/7⁵

d)

7⁵

26.

$\frac{w^4y^6x^2}{w^2y^3x}$ Simplify this expression

a)

$w^6y^9x^3$

b)

$w^2y^3x$

c)

4-3-1

d)

wxy

27.

a)

3x^-1y^-5

b)

3x²y

c)

3xy⁵

d)

-3x³y⁷

28.

(-7)⁰⋅g

a)

-7g

b)

g

c)

0

d)

-7

29.

Simplify:

a)

b)

c)

d)

30.

What color are the Smurfs?

a)

Green

b)

Purple

c)

Blue

d)

Red

31.

What is the third planet from the sun?

a)

Mercury

b)

Earth

c)

Jupiter

d)

Mars

32.

How many years are in a century?

a)

1000

b)

1

c)

10

d)

100

33.

How many colors are in a rainbow?

a)

100

b)

10

c)

7

d)

70

34.

Who does the animated character Princess Fiona marry?

a)

Shrek

b)

Donkey

c)

Prince Charming

d)

Prince Phillip

35.

Which planet in our Solar System is known for having a ring?

a)

Earth

b)

Saturn

c)

Neptune

d)

Jupiter

36.

What is the name of the Australian weapon that is designed to come back to you when thrown?

a)

boomerang

b)

pogo stick

c)

wallabaloo

d)

there is no such thing

37.

Cruella De Vil is from what movie?

a)

Beauty and the Beast

b)

Alice in Wonderland

c)

101 Dalmatians

d)

Lion King

38.

What country are the Pyramids in?

a)

Egypt

b)

Africa

c)

Europe

d)

South America

39.

Who is this?

a)

Ralph

b)

mike w

c)

sully

40.

Who is the goddess of love in Greek mythology?

a)

Aphrodite

b)

Venus

c)

Athena

d)

Cybele

41.

Which two countries do not sell Coca-cola?

a)

Alaska and Greenland

b)

Haiti and Honduras

c)

North Korea and Cuba

d)

Netherlands and Iceland

42.

Which are the three primary colors?

a)

orange, brown and green

b)

red, yellow and blue

c)

purple, orange and black

d)

yellow, green and red

43.

How many sides are on a standard #2 pencil?

a)

4

b)

5

c)

6

d)

7

44.

What did Babe Ruth wear underneath his baseball cap to help keep his head cool during games?

a)

Damp cloth

b)

Cabbage Leaf

c)

Homemade sweat band

d)

Cucumber slices

45.

Like your fingerprints, you also have a unique

a)

Tongue print

b)

Toe print

c)

Hair follicle

d)

Fingernail texture

46.

Every year, over 8,800 people injure themselves with what seemingly harmless, tiny object?

a)

Pencil

b)

Eraser

c)

Toothpick

d)

Paperclip

47.

How many states begin with the letter T?

a)

1

b)

2

c)

3

d)

4

48.

Americans on average eat ____ acres of pizza every day

a)

10

b)

15

c)

18

d)

22

49.

This gaming system is known as

a)

Sega

b)

Super Nintendo

c)

Nintendo 64

d)

Odyssey

50.

Water has a density of

a)

1

b)

2

c)

3

d)

4

51.

The 5th planet from the sun is

a)

Earth

b)

Saturn

c)

Neptune

d)

Jupiter

52.

Select all of the proper nouns.

a)

Store

b)

Dog

c)

Simon

d)

Walmart

53.

Which candy was originally called Chicken Feed

a)

Candy Corn

b)

M&M's

c)

Skittles

d)

Chiclets

Exponent Laws

Total questions: 53

Worksheet time: 1hrs 10mins

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