Free Printable Unit 9 Review

1.

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

2.

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

3.

Change from standard form to scientific notation: 450,000

a)

4.5 x 10⁵

b)

45 x 10⁵

c)

4.5 x 10⁴

d)

4.5 x 10⁶

4.

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

5.

What do you do to your exponents when you are dividing in scientific notation?

a)

Subtract

b)

Divide

c)

Multiply

d)

Add

6.

What do you do to your exponents when you are multiplying in scientific notation?

a)

Subtract

b)

Multiply

c)

Divide

d)

Add

7.

Solve:

(6 x 10⁶) x (2 x 10³)

a)

1.2 x 10¹⁰

b)

8 x 10⁹

c)

1.2 x 10⁸

d)

8 x 10¹⁰

8.

Divide.

a)

3.9 x 10⁶

b)

4 x 10²⁰

c)

4 x 10⁶

d)

3.9 x 10²⁰

9.

DIVIDE:

(6 x 10⁶) / (2 x 10³)

a)

12 x 10³

b)

3 x 10⁹

c)

1.2 x 10⁴

d)

3 x 10³

10.

Simplify: (-4)²

a)

-8

b)

16

c)

-16

d)

8

11.

Simplify: (m⁹)²

a)

m¹¹

b)

2m⁹

c)

m¹⁸

d)

m^4.5

12.

Simplify: x¹⁰⋅x⁴

a)

x⁴⁰

b)

x¹⁴

c)

x⁶

d)

2x¹⁴

13.

Simplify: (5p⁹q³)(2pq⁷)

a)

7p¹⁰q¹⁰

b)

10p⁹q²¹

c)

10p¹⁰q¹⁰

d)

10p⁸q^-4

14.

Simplify: x⁸/x²

a)

x¹⁶

b)

x⁴

c)

x⁵

d)

x⁶

15.

Simplify: $6^5\cdot6^2$

a)

$6^7$

b)

$6^3$

c)

$36^7$

d)

$6^{10}$

16.

Simplify: $3n^5\cdot5n^{10}$

a)

$15n^5$

b)

$8n^{15}$

c)

$15n^{50}$

d)

$15n^{15}$

17.

Simplify: $10x^8\cdot9x$

a)

$90x^8$

b)

$19x^9$

c)

$90x^9$

d)

$19x^9$

18.

Simplify: $\frac{2^9}{2^6}$

a)

$1^3$

b)

$0^3$

c)

$2^3$

d)

$2^{15}$

19.

Simplify: $\frac{12x^5y^4}{2x^9y}$

a)

$6x^{-4}y^3$

b)

$\frac{6y^3}{x^4}$

c)

$\frac{12y^3}{2x^4}$

d)

$\frac{6x^{-4}}{y^3}$

20.

Simplify: $\left(3x^5\right)^6$

a)

$18x^{30}$

b)

$729x^{11}$

c)

$3^6x^{30}$

d)

$729x^{30}$

21.

Simplify: $\left(2m\right)^5$

a)

$10m^5$

b)

$32m^5$

c)

$25m^5$

d)

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

22.

Simplify: $2m^{-1}$

a)

$\frac{1}{2m}$

b)

$\frac{m}{2}$

c)

$\frac{2}{m}$

d)

$2m$

23.

Simplify: $\frac{k^3}{5k}$

a)

$5k^2$

b)

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

c)

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

d)

$\frac{k^4}{5}$

24.

Simplify: $\left(3k^5\right)\left(-2k^3\right)$

a)

$6k^8$

b)

$-6k^{15}$

c)

$6k^{15}$

d)

$-6k^8$

25.

Write this expression using positive exponent:

x^-7

a)

-7

b)

-7x

c)

1/x⁷

d)

-1/x⁷

26.

Simplify (evaluate):

5^-2

a)

-10

b)

1/25

c)

1/(5)²

d)

-1/10

27.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

28.

Simplify x²y^-5

a)

1/x²y⁵

b)

x²/y⁵

c)

y⁵/x²

d)

x²/y^-5

29.

Simplify

a)

$\frac{a^3b^2}{4}$

b)

$\frac{4a^3}{b^2}$

c)

$\frac{4}{a^3b^2}$

d)

$\frac{1}{4a^3b^2}$

30.

Simplify

a)

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

b)

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

c)

$\frac{-5}{x^3}$

d)

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

31.

Any number written to the 0 power is always 1
Example: 8⁰=1

a)

True

b)

False

32.

Write with positive exponents:

a)

a^-2

b)

a²

c)

1/a¹

33.

Simplify (-9)⁰

a)

-9

b)

-1

c)

1

d)

9

34.

Simplify the expression so that it contains only positive exponents.

a)

b)

c)

d)

35.

Simplify:

$x^3\cdot x^5\cdot x^{10}$

a)

$x^2$

b)

$18x$

c)

$x^{150}$

d)

None of the above

36.

Simplify:

$10u^3v^5\cdot7v^3$

a)

$70u^3v^{15}$

b)

$17u^3v^8$

c)

$70u^3v^8$

d)

None of the above

37.

Simplify the expression so that it contains only positive exponents.

a)

b)

c)

d)

38.

Simplify the expression so that it contains only positive exponents.

a)

b)

c)

d)

39.

Simplify each expression so that it contains only positive exponents.

a)

b)

c)

d)

40.

$\frac{18x^{10}}{2x^3}$

a)

$9x^7$

b)

$9x^{13}$

c)

$18x^7$

d)

$2x^{13}$

Unit 9 Review - Exponents

Total questions: 40

Worksheet time: 1hrs 29mins

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