Free Printable HAM: Properties of Exponents 1/17

1.

Simplify $5x^3\ •\ 2x^2$

a)

10x⁵

b)

3x

c)

10x⁶

d)

7x⁵

2.

m ⋅ m⁵⋅ m⁶

a)

m³⁰

b)

m¹²

c)

12m

d)

mm¹¹

3.

Simplify (-4r⁵)(2r⁸)

a)

-8r¹³

b)

-2r¹³

c)

-8r⁴⁰

d)

-2y⁴⁰

4.

a)

a

b)

b

5.

Simplify $3x^{2\ }•\ x^4$

a)

$3x^2$

b)

$3x^8$

c)

$3x^6$

d)

$x^6$

6.

What is 3³?

a)

6

b)

9

c)

27

d)

54

7.

Simplify 2⁴ • 2⁵

a)

2²⁰

b)

4⁹

c)

4²⁰

d)

2⁹

8.

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

a)

$2^{16}$

b)

$2^{10}$

c)

$2^6$

d)

$2^4$

9.

Simplify $5x^3\ •\ 2x^2$

a)

10x⁵

b)

3x

c)

10x⁶

d)

7x⁵

10.

m ⋅ m⁵⋅ m⁶

a)

m³⁰

b)

m¹²

c)

12m

d)

mm¹¹

11.

(8⁵)³

a)

8⁸

b)

8¹⁵

c)

8²

d)

1/8²

12.

3 ∙ 3⁰ ∙ 3³

a)

81

b)

3

c)

27

d)

1

13.

(12x³y)²

a)

144x⁶y²

b)

24x⁶y²

c)

144x⁵y³

d)

24x⁵y³

14.

(3xy)²

a)

9x²y²

b)

6x²y²

c)

3xy²

d)

3x²y²

15.

5³⋅5⁴

a)

5⁷

b)

5⁻¹

c)

5¹²

d)

5

16.

n²⋅n⁴⋅n⁵

a)

n¹¹

b)

n⁴⁰

c)

n¹³

d)

n²²

17.

When multiplying, if the bases are the same ______ the exponents.

a)

Subtract

b)

Multiply

c)

Add

d)

Subtract

18.

x² * x² * x² * x²

a)

2 * 2 * 2 * 2

b)

x¹⁶

c)

x⁸

d)

2(x * x * x * x)

19.

(x⁵y³)⁴

a)

x⁹y⁷

b)

x⁹y¹²

c)

x²⁰y¹²

d)

x²⁰y⁷

20.

Simplify using the properties of exponents:

\left(h^9\right)^{10}

a)

$h^{19}$

b)

$h^{90}$

c)

$h^{-1}$

d)

$h^1$

21.

a)

d²

b)

d⁸⁰

c)

d⁸¹⁰

d)

d¹⁸

22.

8^{7 .}8²

a)

8⁹

b)

8¹⁴

c)

64⁹

d)

6414

23.

(3⁴)(3⁷)

a)

3²⁸

b)

3³

c)

3^-3

d)

3¹¹

24.

Which is equivalent to 2⁴

a)

8

b)

20

c)

16

d)

12

25.

How do you write
5⋅5⋅5⋅5⋅5⋅5⋅5
with an exponent?

a)

5⁷

b)

5⁶

c)

7⁵

d)

5

26.

Simplify:
(x³)(x²)

a)

x⁵

b)

x⁶

c)

x

d)

x^1.5

27.

3⁴x 3⁷

a)

9²⁸

b)

3²⁸

c)

3¹¹

d)

9¹¹

28.

a)

−30x¹¹

b)

−30x¹⁸

c)

−x¹¹

d)

−x¹⁸

29.

a)

$25x^{22}$

b)

$10x^{22}$

c)

$25x^{13}$

d)

$-25x^{22}$

30.

a)

k⁷

b)

k³

c)

1/k¹⁰

d)

k¹⁰

31.

(3xy)²

a)

9x²y²

b)

6x²y²

c)

3xy²

d)

3x²y²

32.

$\left(2x^2y^3\right)^2$

a)

$2^2x^4y^5$

b)

$2x^4y^5$

c)

$4x^2y^5$

d)

$4x^4y^6$

33.

a)

$25x^8y^2$

b)

$10x^8y^2$

c)

$-10x^2y^6$

d)

$25x^2y^8$

34.

a)

$-8xy^7$

b)

$-32x^2y^{10}$

c)

$32x^{10}y^2$

d)

$16x^2y^{10}$

35.

Simplify (x¹⁴)³

a)

x¹⁷

b)

x⁴²

c)

x¹¹

d)

3x¹⁴

36.

a)

b)

c)

d)

37.

a)

a⁸

b)

a¹⁵

c)

a³⁵

d)

a^-2

38.

Simplify (-4r⁵)(2r⁸)

a)

-8r¹³

b)

-2r¹³

c)

-8r⁴⁰

d)

-2y⁴⁰

39.

$y^5\cdot y^9\cdot y^2$

a)

$16y$

b)

$y^{16}$

c)

$12y$

d)

$y^{12}$

40.

What is the power to this problem?
6 x 6 x 6 x 6 x 6 x 6 x 6

a)

6 to the 7th power

b)

6 to the 8th power

c)

7 to the 9th power

d)

10 to the 5th power

41.

a)

a⁶

b)

a^-60

c)

a⁴

d)

a^-7

42.

Simplify

a)

A

b)

B

c)

C

43.

SImplify:
3² × 3³³ =

a)

3⁶⁶

b)

3³³

c)

3³⁵

d)

3^-31

44.

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

45.

(2x²yz⁶) (6xy⁴z⁷)

a)

12x³y⁵z¹³

b)

12x³y⁴z¹³

c)

8x³y⁵z¹³

d)

8x³y⁴z¹³

46.

$14x^5y^5x^3y^3$

a)

$22xy^8$

b)

$14x^5y^3$

c)

$22x^8y^8$

d)

$14x^8y^8$

47.

Simplify the expression x⁵x⁷

a)

x³⁵

b)

x¹²

c)

x²

d)

x^-2

48.

(3X³⁾(4X²)

a)

7x⁶

b)

12x⁵

c)

7x⁵

49.

(5²)³

a)

5⁵

b)

125⁶

c)

5⁶

50.

Simplify the expression: r⁶⋅r²⋅r³=

a)

r⁶⁺²⁺³

b)

r¹¹

c)

11r

51.

Simplify the expression: 3x²⋅x²=

a)

3x

b)

3x²⁺²

c)

3x⁴

52.

Evaluate-solve:

5^4

a)

125

b)

625

c)

20

d)

25

53.

x^{20 .} x¹⁰

a)

x³⁰

b)

x²⁰⁰

c)

2x³⁰

d)

x¹⁰

54.

When multiplying two powers that have the same base, you can ___________ the exponents.

a)

Subtract

b)

Divide

c)

Add

d)

Multiply

55.

What is equivalent to

3x^2y\cdot6xy^3

a)

$9x^3y^4$

b)

$9x^3y^3$

c)

$18x^3y^4$

d)

$18x^3y^3$

56.

Multiply

2^9\cdot2^4

a)

$4^{13}$

b)

$2^{13}$

c)

$2^{36}$

d)

$4^{36}$

57.

(x⋅y³)²

a)

x²⋅y⁵

b)

xy⁶

c)

x²⋅y⁶

d)

x⁵⋅y⁵

58.

Simplify:
(7y⁴)²

a)

7y⁶

b)

14y⁸

c)

14y⁶

d)

49y⁸

59.

(3y⁴)²

a)

9y⁸

b)

9y⁶

c)

6y⁸

d)

6y⁶

60.

(8⁵)³

a)

8⁸

b)

8¹⁵

c)

8²

d)

1/8²

61.

Simplify (wm⁵)³

a)

w³m¹⁵

b)

wm¹⁵

c)

w⁴m⁸

d)

w³m⁸

62.

Simplify (-2m)⁴

a)

16m⁴

b)

-8m⁴

c)

16m⁵

d)

-8m⁵

63.

Simplify (3x⁴y⁵)²

a)

9x⁸y¹⁰

b)

6x⁸y¹⁰

c)

3x⁸y¹⁰

d)

x⁸y¹⁰

64.

$\frac{-18x^3y^{-9}}{3x^2y^2}$

a)

$\frac{6x}{y^{11}}$

b)

$-\frac{6}{xy^{11}}$

c)

$-\frac{6x}{y^{11}}$

d)

$-\frac{6x}{y^7}$

65.

a)

$\frac{9a^8}{4b^2}$

b)

$\frac{9b^2}{4a^8}$

c)

$\frac{9a^4b^6}{4}$

d)

$\frac{9a^4}{4b^2}$

66.

Simplify

$(34x^5y^6z^{-7})^0$

a)

$\frac{34x^5y^6}{z^7}$

b)

$\frac{34x^5y^6}{z^{-7}}$

c)

$0$

d)

$1$

67.

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

a)

$\frac{2x^6}{3y^{15}}$

b)

$\frac{8x^6}{27y^{15}}$

c)

$\frac{27x^6}{8y^{15}}$

d)

$\frac{2y^{15}}{3x^6}$

68.

Fill in the box.

a)

-5

b)

$\frac{8}{3}$

c)

3

d)

5

69.

What is the value of x? $3^{16}=(3^8)(3^x)$

a)

2

b)

8

c)

4

d)

1

70.

Find the missing exponent: $\left(5d^4\right)^?=625d^{16}$

a)

4

b)

12

c)

20

d)

None of the above

71.

Simplify: $\ \left(y^3\right)^{-2}$

Select all that apply

a)

$y^5$

b)

$y^{-6}$

c)

$\frac{1}{y^6}$

d)

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

72.

A rectangle has an area of $34x^2y^8$ and a length of $17xy$ . What is the width?

a)

$2xy^7$

b)

$17xy$

c)

$17xy^3$

d)

$2xy$

73.

A rectangle has an area of $24m^2$ and a width of 4m. What is the length?

a)

$20m$

b)

$6$

c)

$6m$

d)

$6m^2$

74.

Check all that is true

Simplify the expression:

36^1/2

a)

6

b)

$\sqrt{36}$

c)

-6

d)

1296

75.

$x^0$

a)

$1$

b)

$0$

c)

$x$

d)

$\sqrt[]{x}$

76.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

77.

a)

1

b)

g¹⁰

c)

g²⁵

d)

g

78.

a)

8x⁴

b)

8x⁸

c)

6x⁴

d)

6x⁸

79.

Evaluate the expression.

a)

c⁷

b)

1/c⁷

c)

1/c¹⁷

d)

c⁶⁰

80.

Simplify the exponential expression:

a)

10x^-2

b)

2x²

c)

2x¹²

d)

10x¹²

HAM: Properties of Exponents 1/17

Total questions: 80

Worksheet time: 3hrs 25mins

Similar Resources on Wayground