Free Printable Exponent Rules Review

1.

THE PRODUCT RULE FOR EXPONENTS YOU....

a)

subtract

b)

add

c)

multiply

d)

divide

2.

QUOTIENT RULE FOR EXPONENTS YOU....

a)

add

b)

divide

c)

multiply

d)

subtract

3.

The power rule for exponents you....

a)

divide

b)

multiply

c)

subtract

d)

add

4.

$5^3\cdot5^4$

a)

$5^2$

b)

$5^7$

c)

$5^6$

d)

$5^{10}$

5.

$\frac{5^3}{5^2}$

a)

$5$

b)

$5^5$

c)

$5^2$

d)

$5^8$

6.

$\frac{7^3}{7^{10}}$

a)

$7^7$

b)

$\frac{1}{7^7}$

c)

$7^{13}$

d)

$\frac{1}{7^{13}}$

7.

$5^{-1}$

a)

$\frac{1}{5}$

b)

$\frac{1}{5^{100}}$

c)

$\frac{1}{5^3}$

d)

$\frac{1}{5^2}$

8.

$\left(7^3\right)^4$

a)

$7^{12}$

b)

$7^7$

c)

$7^1$

9.

$\left(877237646642375623646237\right)^0$

a)

1

b)

DON'T KNOW

c)

YOU SHOULD KNOW THE ANSWER

d)

THINK OF THE LONELIEST NUMBER!

10.

Simplify

a)

$c^7$

b)

$\frac{1}{c^7}$

c)

$\frac{1}{c^{17}}$

d)

$c^{60}$

11.

Simplify 10⁰

a)

10

b)

1

c)

0

d)

100

12.

Rewrite using a positive exponent.
w^-13

a)

-w¹³

b)

¹/_w¹³

c)

¹/_w^-13

d)

w¹³

13.

Simplify.

a)

y⁶⁰

b)

¹/_y¹⁶

c)

y^-16

d)

y⁴

14.

Simplify:

$4^3\cdot4^3$

a)

$4^6$

b)

$4^9$

c)

$16^6$

d)

None of the above

15.

Simplify:

$7^8\cdot7$

a)

$7^9$

b)

$49^8$

c)

$7^8$

d)

None of the above

16.

Simplify:

$c^5\cdot c^3\cdot c^3$

a)

$c^{45}$

b)

$3c^{11}$

c)

$c^{11}$

d)

None of the above

17.

t⁹ x t⁸

a)

t¹

b)

t⁷²

c)

t¹⁷

d)

t

18.

Simplify:
(x³)²

a)

x⁵

b)

x

c)

x⁶

d)

3x²

19.

Simplify the following:

$(2x^4y^7)^3$

a)

$6x^7y^{10}$

b)

$6xy^{32}$

c)

$8x^{12}y^{21}$

d)

$8x^7y^{10}$

20.

Simplify the following:

Your answer must be expressed as a positive exponent

$\frac{k^3}{k^7}$

a)

$k^4$

b)

$\frac{1}{k^4}$

c)

$k^{21}$

d)

$k^{-4}$

21.

Simplify the following:

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

a)

$x^4$

b)

$x^{20}$

c)

$x^8$

d)

$x^{10}$

22.

Match the following.

a)

Add the exponents

1.

$x^3\cdot x^6$

b)

Subtract the exponents

2.

$\frac{z^8}{z^4}$

c)

Multiply the exponents

3.

$\left(y^2\right)^4$

23.

Match the following.

a)

Add the exponents

1.

$\left(w^2\right)^2$

b)

Subtract the exponents

2.

$v^3\cdot v^5$

c)

Multiply the exponents

3.

$\frac{b^2}{b^4}$

24.

Simplify the following:

$(-4)^2$

a)

-8

b)

16

c)

-16

d)

8

25.

Simplify the following:

$7p^0$

a)

7

b)

1

c)

simplified

d)

7p

26.

Simplify the following:

$(5^3x^2y^4)^0$

a)

5xy

b)

1

c)

0

d)

5

27.

Simplify the following:

$4n^2\ \cdot\ n$

a)

$4n^3$

b)

$4n$

c)

$\left(4n^2\right)^2$

d)

$\frac{4}{n}$

28.

True or false: $2^4$ means 2x2x2x2.

a)

true

b)

false

29.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

30.

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

a)

4

b)

2

c)

16

31.

(2x⁷)³

a)

6x²¹

b)

8x²¹

c)

6x¹⁰

d)

8x¹⁰

32.

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7

a)

7⁵

b)

7⁶

c)

6⁷

d)

7⁷

33.

How would you represent 8⁶ ?

a)

8 x 6

b)

8 x 8 x 6

c)

8 x 8 x 8 x 8 x 8 x 8

d)

6 x 6 x 6 x 6 x 6 x 6 x 6 x 6

34.

How would you say this?
5⁴

a)

4 to the power of 5

b)

5 times 4

c)

5 to 4

d)

5 to the 4th power

35.

Rewrite using a positive exponent.

2w^-13

a)

-w¹³

b)

$\frac{2}{w^{13}}$

c)

$\frac{2}{w^{-13}}$

d)

$2w^{13}$

36.

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸/h³

a)

add

b)

subtract

c)

multiply

d)

divide

37.

According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

a)

add

b)

subtract

c)

multiply

d)

divide

38.

According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d²)⁵

a)

add

b)

subtract

c)

multiply

d)

divide

39.

$\left(28^{-2}\right)^3$

a)

$28^{-6}$

b)

$28^1$

c)

$28^6$

d)

$28^{\cdot1}$

40.

$\left(35^{-9}\right)^{-2}$

a)

$35^{-18}$

b)

$35^{18}$

c)

$35^{-11}$

d)

$35^{11}$

41.

$\frac{1}{3^{-14}}$

a)

$3^{-14}$

b)

$3^{14}$

c)

$3^{-13}$

d)

$3^{13}$

42.

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

a)

$a^3b^{35}$

b)

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

c)

$a^8b^8$

d)

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

43.

$\left(ab^2\right)^8$ =

a)

$ab^{16}$

b)

$a^8b^{16}$

c)

$a^9b^{10}$

d)

$ab^{10}$

44.

$\frac{a^5b^{10}}{a^3b^6}=$

a)

$a^8b^{16}$

b)

$a^2b^4$

c)

$a^{15}b^{60}$

d)

$a^2b^{16}$

45.

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

a)

$3x^2$

b)

$3x$

c)

$9x$

d)

$6x$

46.

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

a)

$x^6$

b)

$x^{12}$

c)

$x^{-42}$

d)

$x^{-12}$

47.

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

a)

$m^8$

b)

$m^{12}$

c)

$m^4$

d)

$m^9$

48.

$\left(\frac{x^3y^2}{x^2z^5}\right)^0$

a)

$1$

b)

$0$

c)

$\frac{xy^2}{z^5}$

d)

not a real number

49.

True or False:

a)

True

b)

False

50.

Simplify the expression.
x⁴ (x¹²)

a)

x³

b)

x⁴⁸

c)

x¹⁶

d)

x⁸

Exponent Rules Review

Total questions: 50

Worksheet time: 1hrs 27mins

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