Free Printable Powers

1.

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

a)

add

b)

subtract

c)

multiply

d)

divide

2.

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

a)

add

b)

subtract

c)

multiply

d)

divide

3.

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

a)

add

b)

subtract

c)

multiply

d)

divide

4.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

5.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

6.

x⁵⁄x³

a)

x²

b)

x

c)

1

d)

x⁸

7.

.

a)

4x²

b)

8x²

c)

4x⁴

d)

10x⁴

8.

Simplify
(xy)⁴

a)

4xy

b)

4x⁴y⁴

c)

8xy⁴

d)

x⁴y⁴

9.

Rewrite the expression as a power.
(2⁴)(2⁵)

a)

2²⁰

b)

4⁹

c)

4²⁰

d)

2⁹

10.

Simplify the expression.
x⁴ (x¹²)

a)

x³

b)

x⁴⁸

c)

x¹⁶

d)

x⁸

11.

Simplify the expression.
(6x²)(-3x⁵)

a)

18x⁷

b)

-18x⁷

c)

18x⁷

d)

3x⁷

12.

Simplify (c⁵)(c³)(c³)

a)

c⁴⁵

b)

3c¹¹

c)

c¹¹

d)

3c⁴⁵

13.

x⁸ / x²

a)

x⁴

b)

x¹⁶

c)

x^-6

d)

x⁶

14.

x⁸ / x²

a)

x⁴

b)

x¹⁶

c)

x^-6

d)

x⁶

15.

(x⁵)⁴

a)

x⁹

b)

x²⁰

c)

x

d)

x⁵⁴

16.

7⁸ / 7⁶

a)

7

b)

49

c)

1/7

d)

1/49

17.

x⁵y³ / xy²

a)

x⁴y

b)

x²y

c)

x⁴y²

d)

x⁶y⁵

18.

In the expression 2⁵, what is the BASE?

a)

2

b)

5

19.

In the expression 2⁵, what is the EXPONENT?

a)

5

b)

2

20.

Write in exponential form: 3 x 3 x 3 x 3

a)

3 x 4

b)

3⁴

c)

81

d)

3²

21.

What is equivalent to 6⁴?

a)

6×6×6

b)

4×6

c)

6×6×6×6

d)

4⁶

22.

10⁰

a)

0

b)

1

c)

10

d)

100

23.

2x2x2x2x2x2

a)

2²

b)

2⁴

c)

2⁵

d)

2⁶

24.

Simplify the expression

8^7\cdot8^2

a)

$8^{14}$

b)

$8^9$

25.

Simplify the expression

$\left(12^2\right)^4$

a)

$12^6$

b)

$12^8$

26.

Simplify the expression

$12^4\cdot12^{15}$

a)

$12^{19}$

b)

$12^{60}$

27.

Simplify the expression

$\left(52^5\right)^4$

a)

$52^9$

b)

$52^{20}$

28.

(x¹⁴)³

a)

x¹⁷

b)

x⁴²

c)

x¹¹

d)

3x¹⁴

29.

(6x²)(-3x⁵)

a)

18x⁷

b)

-18x⁷

c)

18x⁷

d)

3x⁷

30.

Simplify $x^{-7}$

a)

-7

b)

$-7x$

c)

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

d)

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

31.

Make this negative exponent positive.

$9^{-3}$

a)

9³

b)

$-\frac{1}{9^3}$

c)

$\frac{1}{9^3}$

d)

729

32.

Simplify $(-9)^0$

a)

-9

b)

-1

c)

1

d)

9

33.

Rewrite using a positive exponent.
$w^{-13}$

a)

-w¹³

b)

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

c)

$\frac{1}{w^{-13}}$

d)

w¹³

34.

Solve $(-8)^{-2}$

a)

$\frac{1}{(-8)^2}$

b)

$-\frac{1}{64}$

c)

$\frac{1}{16}$

d)

-64

35.

Rewrite using a positive exponent.
g^-7

a)

¹/_g⁷

b)

g⁷

c)

¹/_g^-7

d)

-g⁷

36.

Simplify y⁰

a)

y

b)

0

c)

1

d)

1y

37.

x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

38.

Which expression is equivalent to the expression in the picture?

a)

2⁸ / 2²

b)

2⁻⁶

c)

2⁴

d)

2⁶

39.

$g^3\ \cdot\ g^{-2}$

a)

1

b)

g

c)

$\frac{1}{g}$

d)

$g^5$

40.

What does anything to the zero power equal??

a)

0

b)

1

c)

the variable

41.

5⁰ ∙ 2⁰

a)

0

b)

1

c)

10

42.

Simplify.:

$\left(2a^3\right)^0$

a)

0

b)

$2a^3$

c)

1

Powers

Total questions: 42

Worksheet time: 2hrs 33mins

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