Free Printable Exponents

1.

m ⋅ m⁵⋅ m⁶

a)

m³⁰

b)

m¹²

c)

12m

d)

mm¹¹

2.

Simplify.

a)

x⁷

b)

1/x³

c)

x³

d)

1/x⁷

3.

a)

8x⁴

b)

8x⁸

c)

6x⁴

d)

6x⁸

4.

Simplify. Express using exponents.

a)

11m⁴n⁵

b)

16m⁴n⁶

c)

24m⁴n⁵

d)

24m⁴n⁶

5.

Simplify. Express using exponents.

a)

12x⁶y⁴

b)

12x¹⁰y⁶

c)

22x¹⁰y⁶

d)

12x⁶y⁶

6.

Change from standard form to scientific notation: 12,000,000

a)

12.0 x 10⁷

b)

0.12 x 10⁷

c)

1.2 x 10⁶

d)

1.2 x 10⁷

7.

Change from standard form to scientific notation: 0.000398

a)

39.8 x 10^-5

b)

3.98 x 10^-5

c)

3.98 x 10^-4

d)

39.8 x 10^-6

8.

Change from standard form to scientific notation: 0.004078

a)

4.078 x 10^-3

b)

4.078 x 10³

c)

40.78 x 10^-4

d)

.4078 x 10^-2

9.

125,678,000: Change to scientific notation

a)

1.25678 x 10¹²

b)

.125678 x 10^-9

c)

12.5678 x 10⁸

d)

1.25678 x 10⁸

10.

Try to change the number back to standard form: 6.79 x 10⁴

a)

679,000

b)

6,790

c)

67,900

d)

6,790,000

11.

Try to change the number back to standard form: 3.97 x 10^-2

a)

0.000397

b)

0.0397

c)

0.0000397

d)

0.397

12.

Write 3.5 x 10⁶in standard notation.

a)

0.0000035

b)

35,000,000

c)

3,500,000

d)

0.00000035

13.

Write 0.00000054 in scientific notation.

a)

54 x 10⁸

b)

5.4 x 10⁷

c)

54 x 10^-8

d)

5.4 x 10^-7

14.

Write 9.31 x 10^-5in standard notation.

a)

93,100,000

b)

931,000

c)

0.00000931

d)

0.0000931

15.

Write 5,890,000,000 in scientific notation.

a)

5.89 x 10⁹

b)

0.589 x 10¹⁰

c)

589 x 10⁷

d)

5.89 x 10^-9

16.

The rule of scientific notation is to write all exponents with a base of ____.

a)

50

b)

5

c)

100

d)

10

17.

Solve:
(6 x 10⁶) / (2 x 10³)

a)

12 x 10³

b)

3 x 10⁹

c)

1.2 x 10⁴

d)

3 x 10³

18.

Solve:
(2.1×10²) × (3.0×10⁴)

a)

5.1 x 10²

b)

6.3 x 10⁶

c)

5.1 x 10⁶

d)

6.3 x 10⁸

19.

What is the standard of

(9X10^5) + (5x10^2) + (7x10^1) + (8x10^0)

a)

9005708

b)

9050708

c)

9578000

d)

9000578

20.

What is (3 x 4 x 4³x 2⁷)⁰?

a)

98,304

b)

1

c)

12 x 64 x 14

d)

0

21.

Which of these is equivalent to $9^{-3}$ ?

a)

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

b)

$-9^3$

c)

-729

d)

$\frac{1}{9}$

22.

Evaluate using the quotient rule:

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

23.

$5m^4n^{2\times}3mn^4$

a)

$15m^5n^6$

b)

$15m^{4^{ }}n^6$

c)

15mn

d)

$15mn^7$

24.

$5a^5b^{2\ }\cdot\ 3a^4\ \cdot2ab^2$

a)

$15a^4b^{10}$

b)

$30a^{10}b^9$

c)

$30a^{10}b^4$

25.

$\frac{48a^4b^{10}}{4ab^7}$

a)

$12a^5b^6$

b)

$12ab^3$

c)

$12a^3b^3$

Exponents

Total questions: 25

Worksheet time: 25mins

Similar Resources on Wayground